\u300c\u885d\u7a81\u30fb\u5206\u88c2\u30fb\u5408\u4f53\u3067\u306f\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff01\u300d\u3068\u3044\u3046\u9b54\u6cd5\u306e\u8a00\u8449\u304c\u3042\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n
\u3057\u304b\u3057\uff0c\u885d\u7a81\u30fb\u5206\u88c2\u30fb\u5408\u4f53\u4ee5\u5916\u306e\u72b6\u6cc1\u3067\u306f\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u308a\u7acb\u305f\u306a\u3044\u304b\u3068\u3044\u308f\u308c\u308b\u3068\u305d\u3093\u306a\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n
\u305d\u3082\u305d\u3082\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u7acb\u3059\u308b\u6761\u4ef6\u306f\uff0c\u300c\u7cfb\u306b\u5916\u529b\u304c\u4f5c\u7528\u3057\u306a\u3044\u3053\u3068\u300d\u3067\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n
\u885d\u7a81\u30fb\u5206\u88c2\u30fb\u5408\u4f53\u4ee5\u5916\u3067\u3053\u306e\u6761\u4ef6\u304c\u6210\u7acb\u3059\u308b\u72b6\u6cc1\u3092\u78ba\u8a8d\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n
<\/i>\u4f8b\u984c<\/span><\/p>\n\u8cea\u91cf $M$ \u306e\u53f0\u304c\u6ed1\u3089\u304b\u306a\u5e8a\u306e\u4e0a\u306b\u7f6e\u304b\u308c\u3066\u3044\u308b\u3002\u53f0\u306e\u5de6\u7aef\u306f\u58c1\u306b\u63a5\u3057\u3066\u304a\u308a\uff0c\u58c1\u306e\u4e0a\u9762\u3068\u53f0\u306e\u4e0a\u9762\u306f\u6ed1\u3089\u304b\u306b\u63a5\u7d9a\u3055\u308c\u3066\u3044\u308b\u3068\u307f\u306a\u305b\u308b\u3082\u306e\u3068\u3059\u308b\u3002\u58c1\u306e\u4e0a\u9762\u3092\u904b\u52d5\u3057\u3066\u304d\u305f\u8cea\u91cf $m$ \u306e\u7269\u4f53\u304c\uff0c\u6642\u523b $t=0$ \u306b\u901f\u3055 $v$ \u3067\u53f0\u306e\u4e0a\u9762\u306b\u4e57\u308a\u79fb\u3063\u305f\u3002\u53f0\u306e\u4e0a\u9762\u306f\u7c97\u304f\uff0c2\u7269\u4f53\u9593\u306e\u6469\u64e6\u529b\u306b\u3088\u3063\u3066\u53f0\u306f\u53f3\u5411\u304d\u306b\u904b\u52d5\u3092\u306f\u3058\u3081\u305f\u3002\u3084\u304c\u3066\uff0c\u7269\u4f53\u3068\u53f0\u306f\u306e\u901f\u3055\u306f\u7b49\u3057\u304f\u306a\u308a\uff0c\u4e00\u4f53\u3068\u306a\u3063\u3066\u53f3\u5411\u304d\u306b\u904b\u52d5\u3092\u7d9a\u3051\u305f\u3002\u7269\u4f53\u3068\u53f0\u306e\u9593\u306e\u52d5\u6469\u64e6\u4fc2\u6570\u3092 $\\mu\\mskip 1mu\\prime $\uff0c\u91cd\u529b\u52a0\u901f\u5ea6\u306e\u5927\u304d\u3055\u3092 $g$ \u3068\u3057\u3066\uff0c\u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u4e00\u4f53\u3068\u306a\u3063\u305f\u5f8c\u306e\u7269\u4f53\u306e\u901f\u3055$V$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n\u7269\u4f53\u3068\u53f0\u306e\u901f\u5ea6\u304c $V$ \u3068\u306a\u308b\u6642\u9593 $t_1$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n\u7269\u4f53\u304c\u53f0\u306e\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2 $L$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n<\/div><\/div>\n\n\n\n(1)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u5f8c\u306e\u72b6\u6cc1\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u7269\u4f53\uff0c\u53f0\u306b\u4f5c\u7528\u3059\u308b\u6c34\u5e73\u65b9\u5411\u306e\u529b\u306f\u305d\u308c\u305e\u308c\u6b21\u306e\u901a\u308a\u3067\u3059\u3002\u306a\u304a\uff0c\u56f3\u4e2d\u306e $N$ \u306f\uff0c\u53f0\u304c\u7269\u4f53\u306b\u53ca\u307c\u3059\u5782\u76f4\u6297\u529b\u306e\u5927\u304d\u3055\u3067\u3059\u3002<\/p>\n\n\n\n\u56f3\u306b\u306f\u304b\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u304c\uff0c\u7269\u4f53\u306e\u925b\u76f4\u65b9\u5411\u306e\u529b\u306e\u3064\u308a\u5408\u3044\u3088\u308a\uff0c$N=mg$ \u3067\u3042\u308b\u3053\u3068\u306f\u76f4\u3061\u306b\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\n\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\uff0c2\u7269\u4f53\u9593\u306b\u4f5c\u7528\u30fb\u53cd\u4f5c\u7528\u304c\u3044\u305a\u308c\u3082\u5b58\u5728\u3057\u3066\u3044\u308b\u306e\u3067\u5185\u529b\u3067\u3059\u306d\uff01<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u6c34\u5e73\u65b9\u5411\u306b\u306f\u3053\u306e\u5185\u529b\u3057\u304b\u4f5c\u7528\u3057\u3066\u3044\u306a\u3044\u305f\u3081\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u77ac\u9593\u304b\u3089\u305a\u3063\u3068\u5185\u529b\u3057\u304b\u4f5c\u7528\u3057\u306a\u3044\u305f\u3081\uff0c\u5341\u5206\u306b\u6642\u9593\u304c\u7d4c\u904e\u3059\u308b\u307e\u3067\uff08\u305d\u308c\u4ee5\u964d\u3082\uff09\u305a\u3063\u3068\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u305d\u3053\u3067\uff0c\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u76f4\u5f8c\u3068\uff0c\u4e00\u4f53\u3068\u306a\u3063\u3066\u904b\u52d5\u3057\u3066\u3044\u308b\u72b6\u6cc1\u306b\u3064\u3044\u3066\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3092\u7acb\u5f0f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n$$mv=mV+V\\qquad\\therefore \\quad V=\\bun{m}{m+M}v$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u306d\u3002<\/p>\n\n\n\n(2)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u3044\u304f\u3064\u304b\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u6700\u3082\u601d\u3044\u3064\u304d\u3084\u3059\u3044\u306e\u306f\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u611a\u76f4\u306b\u4f7f\u3046\u65b9\u6cd5\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u904b\u52d5\u91cf\u4fdd\u5b58\u5247<\/h3>\n\n\n\n\u7269\u4f53\u3068\u53f0\u306b\u4f5c\u7528\u3059\u308b\u52d5\u6469\u64e6\u529b\u306f\u5927\u304d\u3055\u304c\u4e00\u5b9a\u3067\u3059\u306e\u3067\uff0c\u7269\u4f53\u3082\u53f0\u3082\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n\u52a0\u901f\u5ea6\u3092\u305d\u308c\u305e\u308c $a_1,\\,a_2$ \u3068\u3059\u308b\u3068\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\uff0c<\/p>\n\n\n\n$$ma_1=-\\mu\\mskip 1mu\\prime mg,\\ Ma_2=\\mu\\mskip 1mu\\prime mg$$\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3088\u308a\uff0c$a_1=-\\mu\\mskip 1mu\\prime g$\uff0c$a_2=\\Bun{\\mu\\mskip 1mu\\prime mg}{M}$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u58c1\u306e\u4f4d\u7f6e\u3092\u539f\u70b9\u3068\u3057\u3066\uff0c\u6c34\u5e73\u53f3\u5411\u304d\u306b $x$ \u8ef8\u3092\u3068\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c\u7269\u4f53\u306e\u901f\u5ea6 $v_1$ \u304a\u3088\u3073\u53f0\u306e\u901f\u5ea6 $v_2$ \u306f\uff0c<\/p>\n\n\n\n$$v_1=v+a_1t,\\ v_2=a_2t$$\u3067\u3059\u306d\u3002<\/p>\n\n\n\n$v_1=v_2=V$ \u3092\u89e3\u304f\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\n\u5c11\u3057\u8a08\u7b97\u91cf\u304c\u591a\u304f\u3066\u3084\u3084\u3053\u3057\u3044\u3067\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u305d\u3053\u3067\uff0c\u300c\u6c42\u3081\u308b\u3082\u306e\u304c\u7d4c\u904e\u6642\u9593\u300d\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u76ee\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u7d4c\u904e\u6642\u9593\u304c\u542b\u307e\u308c\u308b\u3082\u306e\u3068\u3057\u3066\u529b\u7a4d\u304c\u3042\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n\n\n\n\u4e00\u5b9a\u306e\u529b $F$ \u304c\u6642\u9593 $\\varDelta t$ \u3060\u3051\u52a0\u308f\u3063\u305f\u3068\u304d\u306e\u529b\u7a4d\u306f $I=F\\varDelta t$ \u3067\u3042\u308a\uff0c\u7269\u4f53\u306e\u904b\u52d5\u91cf\u306e\u5909\u5316\u306b\u7b49\u3057\u304f\u306a\u308b\u306e\u3067\u3057\u305f\u3002\u3053\u308c\u3092\u5229\u7528\u3057\u305f\u65b9\u6cd5\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3092\u7528\u3044\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u7570\u306a\u308a\uff0c\u53f0\u306e\u307f\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u4e0a\u306b\u7269\u4f53\u304c\u4e57\u308a\u79fb\u3063\u305f\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u53f0\u306f\u53f3\u5411\u304d\u306b $\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u59cb\u3081\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\u7269\u4f53\u3068\u53f0\u304c\u4e00\u4f53\u3068\u306a\u308b\u307e\u3067\u4f5c\u7528\u3057\u7d9a\u3051\u308b\u305f\u3081\uff0c\u4f5c\u7528\u3057\u305f\u6642\u9593\u306f $t_1$ \u3067\u3059\u306d\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u53f0\u304c\u53f3\u5411\u304d\u306b\u53d7\u3051\u305f\u529b\u7a4d\u306f $\\mu\\mskip 1mu\\prime mgt_1$ \u3067\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u53f0\u306f\u3082\u3068\u3082\u3068\u9759\u6b62\u3057\u3066\u3044\u307e\u3057\u305f\u304c\uff0c\u901f\u3055\u304c $V$ \u3068\u306a\u3063\u305f\u305f\u3081\uff0c\u904b\u52d5\u91cf\u306e\u5909\u5316\u306f $MV-0=MV$ \u3067\u3059\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3088\u308a\uff0c<\/p>\n\n\n\n$$MV=\\mu\\mskip 1mu\\prime mgt_1$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3092\u6574\u7406\u3059\u308b\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\Bun{MV}{\\mu\\mskip 1mu\\prime mg}=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u5148\u307b\u3069\u3068\u540c\u3058\u5024\u3067\u3059\u304c\uff0c\u8a08\u7b97\u91cf\u304c\u5c11\u306a\u304f\uff0c\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u7b54\u6848\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n(3)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u6700\u5f8c\u306f\u53f0\u4e0a\u306e\u79fb\u52d5\u8ddd\u96e2\u3067\u3059\u3002\u307e\u305a\u306f\u611a\u76f4\u306b\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\u8003\u3048\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u3046\u65b9\u6cd5<\/h3>\n\n\n\n\u6642\u523b$t=t_1$ \u306b\u304a\u3051\u308b\u7269\u4f53\u3068\u53f0\u306e\u4f4d\u7f6e\u3092\u305d\u308c\u305e\u308c $x_1,\\,x_2$ \u3068\u3059\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c<\/p>\n\n\n\n$$x_1=vt_1+\\bun12a_1t_1\\!^2,\\ x_2=\\bun12a_2t_1\\!^2$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u56f3\u304b\u3089\uff0c$L=x_1-x_2$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067\uff0c\u3042\u3068\u306f\u9811\u5f35\u3063\u3066\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3067\u3059\u2026\uff01<\/p>\n\n\n\n\u30b0\u30e9\u30d5\u3067\u8003\u3048\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u3092 $v-t$ \u30b0\u30e9\u30d5\u306b\u6574\u7406\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n$v-t$ \u30b0\u30e9\u30d5\u3092\u307e\u3068\u3081\u3066\u56f3\u793a\u3059\u308b\u3053\u3068\u3067\uff0c$L=x_1-x_2$ \u304c\u53f3\u306e\u56f3\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\uff0c<\/p>\n\n\n\n$$L=\\bun12vt_1=\\bun12\\cdot\\bun{M}{m+M}\\cdot\\bun{v^2}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u306e\u6271\u3044<\/h2>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8003\u5bdf<\/h3>\n\n\n\n\u3055\u3066\uff0c\u4f8b\u984c\u306f\u7121\u4e8b\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u306e\u8003\u5bdf\u3082\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u925b\u76f4\u65b9\u5411\u306e\u529b\u306f\u4ed5\u4e8b\u3092\u3057\u307e\u305b\u3093\u306e\u3067\uff0c\u6c34\u5e73\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u3044\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u52d5\u6469\u64e6\u529b\u304c\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_1=-\\mu\\mskip 1mu\\prime mgx_1$\uff0c\u53f0\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_2=\\mu\\mskip 1mu\\prime mgx_2$ \u3068\u304b\u3051\u308b\u306e\u3067\uff0c\u52d5\u6469\u64e6\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b\u306f\uff0c<\/p>\n\n\n\n$$W=W_1+W_2=-\\mu\\mskip 1mu\\prime mg(x_1-x_2)=-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\n\u306a\u3093\u3060\u304b\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u5f62\u306b\u306a\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u53f0\u306e\u8996\u70b9\u3067\u8003\u3048\u308b<\/h3>\n\n\n\n\u3068\u3053\u308d\u3067\uff0c$L$ \u306f\u7269\u4f53\u304c\u53f0\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2\u3067\u3057\u305f\u3002\u53f0\u306e\u8996\u70b9\u304b\u3089\u3053\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u8cea\u91cf $M$ \u306e\u53f0\u304c\u6ed1\u3089\u304b\u306a\u5e8a\u306e\u4e0a\u306b\u7f6e\u304b\u308c\u3066\u3044\u308b\u3002\u53f0\u306e\u5de6\u7aef\u306f\u58c1\u306b\u63a5\u3057\u3066\u304a\u308a\uff0c\u58c1\u306e\u4e0a\u9762\u3068\u53f0\u306e\u4e0a\u9762\u306f\u6ed1\u3089\u304b\u306b\u63a5\u7d9a\u3055\u308c\u3066\u3044\u308b\u3068\u307f\u306a\u305b\u308b\u3082\u306e\u3068\u3059\u308b\u3002\u58c1\u306e\u4e0a\u9762\u3092\u904b\u52d5\u3057\u3066\u304d\u305f\u8cea\u91cf $m$ \u306e\u7269\u4f53\u304c\uff0c\u6642\u523b $t=0$ \u306b\u901f\u3055 $v$ \u3067\u53f0\u306e\u4e0a\u9762\u306b\u4e57\u308a\u79fb\u3063\u305f\u3002\u53f0\u306e\u4e0a\u9762\u306f\u7c97\u304f\uff0c2\u7269\u4f53\u9593\u306e\u6469\u64e6\u529b\u306b\u3088\u3063\u3066\u53f0\u306f\u53f3\u5411\u304d\u306b\u904b\u52d5\u3092\u306f\u3058\u3081\u305f\u3002\u3084\u304c\u3066\uff0c\u7269\u4f53\u3068\u53f0\u306f\u306e\u901f\u3055\u306f\u7b49\u3057\u304f\u306a\u308a\uff0c\u4e00\u4f53\u3068\u306a\u3063\u3066\u53f3\u5411\u304d\u306b\u904b\u52d5\u3092\u7d9a\u3051\u305f\u3002\u7269\u4f53\u3068\u53f0\u306e\u9593\u306e\u52d5\u6469\u64e6\u4fc2\u6570\u3092 $\\mu\\mskip 1mu\\prime $\uff0c\u91cd\u529b\u52a0\u901f\u5ea6\u306e\u5927\u304d\u3055\u3092 $g$ \u3068\u3057\u3066\uff0c\u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u4e00\u4f53\u3068\u306a\u3063\u305f\u5f8c\u306e\u7269\u4f53\u306e\u901f\u3055$V$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n\u7269\u4f53\u3068\u53f0\u306e\u901f\u5ea6\u304c $V$ \u3068\u306a\u308b\u6642\u9593 $t_1$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n\u7269\u4f53\u304c\u53f0\u306e\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2 $L$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n<\/div><\/div>\n\n\n\n(1)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u5f8c\u306e\u72b6\u6cc1\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u7269\u4f53\uff0c\u53f0\u306b\u4f5c\u7528\u3059\u308b\u6c34\u5e73\u65b9\u5411\u306e\u529b\u306f\u305d\u308c\u305e\u308c\u6b21\u306e\u901a\u308a\u3067\u3059\u3002\u306a\u304a\uff0c\u56f3\u4e2d\u306e $N$ \u306f\uff0c\u53f0\u304c\u7269\u4f53\u306b\u53ca\u307c\u3059\u5782\u76f4\u6297\u529b\u306e\u5927\u304d\u3055\u3067\u3059\u3002<\/p>\n\n\n\n\u56f3\u306b\u306f\u304b\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u304c\uff0c\u7269\u4f53\u306e\u925b\u76f4\u65b9\u5411\u306e\u529b\u306e\u3064\u308a\u5408\u3044\u3088\u308a\uff0c$N=mg$ \u3067\u3042\u308b\u3053\u3068\u306f\u76f4\u3061\u306b\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\n\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\uff0c2\u7269\u4f53\u9593\u306b\u4f5c\u7528\u30fb\u53cd\u4f5c\u7528\u304c\u3044\u305a\u308c\u3082\u5b58\u5728\u3057\u3066\u3044\u308b\u306e\u3067\u5185\u529b\u3067\u3059\u306d\uff01<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u6c34\u5e73\u65b9\u5411\u306b\u306f\u3053\u306e\u5185\u529b\u3057\u304b\u4f5c\u7528\u3057\u3066\u3044\u306a\u3044\u305f\u3081\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u77ac\u9593\u304b\u3089\u305a\u3063\u3068\u5185\u529b\u3057\u304b\u4f5c\u7528\u3057\u306a\u3044\u305f\u3081\uff0c\u5341\u5206\u306b\u6642\u9593\u304c\u7d4c\u904e\u3059\u308b\u307e\u3067\uff08\u305d\u308c\u4ee5\u964d\u3082\uff09\u305a\u3063\u3068\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u305d\u3053\u3067\uff0c\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u76f4\u5f8c\u3068\uff0c\u4e00\u4f53\u3068\u306a\u3063\u3066\u904b\u52d5\u3057\u3066\u3044\u308b\u72b6\u6cc1\u306b\u3064\u3044\u3066\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3092\u7acb\u5f0f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n$$mv=mV+V\\qquad\\therefore \\quad V=\\bun{m}{m+M}v$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u306d\u3002<\/p>\n\n\n\n(2)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u3044\u304f\u3064\u304b\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u6700\u3082\u601d\u3044\u3064\u304d\u3084\u3059\u3044\u306e\u306f\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u611a\u76f4\u306b\u4f7f\u3046\u65b9\u6cd5\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u904b\u52d5\u91cf\u4fdd\u5b58\u5247<\/h3>\n\n\n\n\u7269\u4f53\u3068\u53f0\u306b\u4f5c\u7528\u3059\u308b\u52d5\u6469\u64e6\u529b\u306f\u5927\u304d\u3055\u304c\u4e00\u5b9a\u3067\u3059\u306e\u3067\uff0c\u7269\u4f53\u3082\u53f0\u3082\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n\u52a0\u901f\u5ea6\u3092\u305d\u308c\u305e\u308c $a_1,\\,a_2$ \u3068\u3059\u308b\u3068\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\uff0c<\/p>\n\n\n\n$$ma_1=-\\mu\\mskip 1mu\\prime mg,\\ Ma_2=\\mu\\mskip 1mu\\prime mg$$\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3088\u308a\uff0c$a_1=-\\mu\\mskip 1mu\\prime g$\uff0c$a_2=\\Bun{\\mu\\mskip 1mu\\prime mg}{M}$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u58c1\u306e\u4f4d\u7f6e\u3092\u539f\u70b9\u3068\u3057\u3066\uff0c\u6c34\u5e73\u53f3\u5411\u304d\u306b $x$ \u8ef8\u3092\u3068\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c\u7269\u4f53\u306e\u901f\u5ea6 $v_1$ \u304a\u3088\u3073\u53f0\u306e\u901f\u5ea6 $v_2$ \u306f\uff0c<\/p>\n\n\n\n$$v_1=v+a_1t,\\ v_2=a_2t$$\u3067\u3059\u306d\u3002<\/p>\n\n\n\n$v_1=v_2=V$ \u3092\u89e3\u304f\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\n\u5c11\u3057\u8a08\u7b97\u91cf\u304c\u591a\u304f\u3066\u3084\u3084\u3053\u3057\u3044\u3067\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u305d\u3053\u3067\uff0c\u300c\u6c42\u3081\u308b\u3082\u306e\u304c\u7d4c\u904e\u6642\u9593\u300d\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u76ee\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u7d4c\u904e\u6642\u9593\u304c\u542b\u307e\u308c\u308b\u3082\u306e\u3068\u3057\u3066\u529b\u7a4d\u304c\u3042\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n\n\n\n\u4e00\u5b9a\u306e\u529b $F$ \u304c\u6642\u9593 $\\varDelta t$ \u3060\u3051\u52a0\u308f\u3063\u305f\u3068\u304d\u306e\u529b\u7a4d\u306f $I=F\\varDelta t$ \u3067\u3042\u308a\uff0c\u7269\u4f53\u306e\u904b\u52d5\u91cf\u306e\u5909\u5316\u306b\u7b49\u3057\u304f\u306a\u308b\u306e\u3067\u3057\u305f\u3002\u3053\u308c\u3092\u5229\u7528\u3057\u305f\u65b9\u6cd5\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3092\u7528\u3044\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u7570\u306a\u308a\uff0c\u53f0\u306e\u307f\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u4e0a\u306b\u7269\u4f53\u304c\u4e57\u308a\u79fb\u3063\u305f\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u53f0\u306f\u53f3\u5411\u304d\u306b $\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u59cb\u3081\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\u7269\u4f53\u3068\u53f0\u304c\u4e00\u4f53\u3068\u306a\u308b\u307e\u3067\u4f5c\u7528\u3057\u7d9a\u3051\u308b\u305f\u3081\uff0c\u4f5c\u7528\u3057\u305f\u6642\u9593\u306f $t_1$ \u3067\u3059\u306d\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u53f0\u304c\u53f3\u5411\u304d\u306b\u53d7\u3051\u305f\u529b\u7a4d\u306f $\\mu\\mskip 1mu\\prime mgt_1$ \u3067\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u53f0\u306f\u3082\u3068\u3082\u3068\u9759\u6b62\u3057\u3066\u3044\u307e\u3057\u305f\u304c\uff0c\u901f\u3055\u304c $V$ \u3068\u306a\u3063\u305f\u305f\u3081\uff0c\u904b\u52d5\u91cf\u306e\u5909\u5316\u306f $MV-0=MV$ \u3067\u3059\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3088\u308a\uff0c<\/p>\n\n\n\n$$MV=\\mu\\mskip 1mu\\prime mgt_1$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3092\u6574\u7406\u3059\u308b\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\Bun{MV}{\\mu\\mskip 1mu\\prime mg}=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u5148\u307b\u3069\u3068\u540c\u3058\u5024\u3067\u3059\u304c\uff0c\u8a08\u7b97\u91cf\u304c\u5c11\u306a\u304f\uff0c\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u7b54\u6848\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n(3)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u6700\u5f8c\u306f\u53f0\u4e0a\u306e\u79fb\u52d5\u8ddd\u96e2\u3067\u3059\u3002\u307e\u305a\u306f\u611a\u76f4\u306b\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\u8003\u3048\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u3046\u65b9\u6cd5<\/h3>\n\n\n\n\u6642\u523b$t=t_1$ \u306b\u304a\u3051\u308b\u7269\u4f53\u3068\u53f0\u306e\u4f4d\u7f6e\u3092\u305d\u308c\u305e\u308c $x_1,\\,x_2$ \u3068\u3059\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c<\/p>\n\n\n\n$$x_1=vt_1+\\bun12a_1t_1\\!^2,\\ x_2=\\bun12a_2t_1\\!^2$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u56f3\u304b\u3089\uff0c$L=x_1-x_2$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067\uff0c\u3042\u3068\u306f\u9811\u5f35\u3063\u3066\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3067\u3059\u2026\uff01<\/p>\n\n\n\n\u30b0\u30e9\u30d5\u3067\u8003\u3048\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u3092 $v-t$ \u30b0\u30e9\u30d5\u306b\u6574\u7406\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n$v-t$ \u30b0\u30e9\u30d5\u3092\u307e\u3068\u3081\u3066\u56f3\u793a\u3059\u308b\u3053\u3068\u3067\uff0c$L=x_1-x_2$ \u304c\u53f3\u306e\u56f3\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\uff0c<\/p>\n\n\n\n$$L=\\bun12vt_1=\\bun12\\cdot\\bun{M}{m+M}\\cdot\\bun{v^2}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u306e\u6271\u3044<\/h2>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8003\u5bdf<\/h3>\n\n\n\n\u3055\u3066\uff0c\u4f8b\u984c\u306f\u7121\u4e8b\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u306e\u8003\u5bdf\u3082\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u925b\u76f4\u65b9\u5411\u306e\u529b\u306f\u4ed5\u4e8b\u3092\u3057\u307e\u305b\u3093\u306e\u3067\uff0c\u6c34\u5e73\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u3044\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u52d5\u6469\u64e6\u529b\u304c\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_1=-\\mu\\mskip 1mu\\prime mgx_1$\uff0c\u53f0\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_2=\\mu\\mskip 1mu\\prime mgx_2$ \u3068\u304b\u3051\u308b\u306e\u3067\uff0c\u52d5\u6469\u64e6\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b\u306f\uff0c<\/p>\n\n\n\n$$W=W_1+W_2=-\\mu\\mskip 1mu\\prime mg(x_1-x_2)=-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\n\u306a\u3093\u3060\u304b\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u5f62\u306b\u306a\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u53f0\u306e\u8996\u70b9\u3067\u8003\u3048\u308b<\/h3>\n\n\n\n\u3068\u3053\u308d\u3067\uff0c$L$ \u306f\u7269\u4f53\u304c\u53f0\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2\u3067\u3057\u305f\u3002\u53f0\u306e\u8996\u70b9\u304b\u3089\u3053\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u4e00\u4f53\u3068\u306a\u3063\u305f\u5f8c\u306e\u7269\u4f53\u306e\u901f\u3055$V$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n
\u7269\u4f53\u3068\u53f0\u306e\u901f\u5ea6\u304c $V$ \u3068\u306a\u308b\u6642\u9593 $t_1$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n
\u7269\u4f53\u304c\u53f0\u306e\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2 $L$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n<\/div><\/div>\n\n\n\n
\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u5f8c\u306e\u72b6\u6cc1\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n
\u7269\u4f53\uff0c\u53f0\u306b\u4f5c\u7528\u3059\u308b\u6c34\u5e73\u65b9\u5411\u306e\u529b\u306f\u305d\u308c\u305e\u308c\u6b21\u306e\u901a\u308a\u3067\u3059\u3002\u306a\u304a\uff0c\u56f3\u4e2d\u306e $N$ \u306f\uff0c\u53f0\u304c\u7269\u4f53\u306b\u53ca\u307c\u3059\u5782\u76f4\u6297\u529b\u306e\u5927\u304d\u3055\u3067\u3059\u3002<\/p>\n\n\n\n
\u56f3\u306b\u306f\u304b\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u304c\uff0c\u7269\u4f53\u306e\u925b\u76f4\u65b9\u5411\u306e\u529b\u306e\u3064\u308a\u5408\u3044\u3088\u308a\uff0c$N=mg$ \u3067\u3042\u308b\u3053\u3068\u306f\u76f4\u3061\u306b\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\n\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\uff0c2\u7269\u4f53\u9593\u306b\u4f5c\u7528\u30fb\u53cd\u4f5c\u7528\u304c\u3044\u305a\u308c\u3082\u5b58\u5728\u3057\u3066\u3044\u308b\u306e\u3067\u5185\u529b\u3067\u3059\u306d\uff01<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u6c34\u5e73\u65b9\u5411\u306b\u306f\u3053\u306e\u5185\u529b\u3057\u304b\u4f5c\u7528\u3057\u3066\u3044\u306a\u3044\u305f\u3081\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u77ac\u9593\u304b\u3089\u305a\u3063\u3068\u5185\u529b\u3057\u304b\u4f5c\u7528\u3057\u306a\u3044\u305f\u3081\uff0c\u5341\u5206\u306b\u6642\u9593\u304c\u7d4c\u904e\u3059\u308b\u307e\u3067\uff08\u305d\u308c\u4ee5\u964d\u3082\uff09\u305a\u3063\u3068\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u305d\u3053\u3067\uff0c\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u76f4\u5f8c\u3068\uff0c\u4e00\u4f53\u3068\u306a\u3063\u3066\u904b\u52d5\u3057\u3066\u3044\u308b\u72b6\u6cc1\u306b\u3064\u3044\u3066\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3092\u7acb\u5f0f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n$$mv=mV+V\\qquad\\therefore \\quad V=\\bun{m}{m+M}v$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u306d\u3002<\/p>\n\n\n\n(2)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u3044\u304f\u3064\u304b\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u6700\u3082\u601d\u3044\u3064\u304d\u3084\u3059\u3044\u306e\u306f\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u611a\u76f4\u306b\u4f7f\u3046\u65b9\u6cd5\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u904b\u52d5\u91cf\u4fdd\u5b58\u5247<\/h3>\n\n\n\n\u7269\u4f53\u3068\u53f0\u306b\u4f5c\u7528\u3059\u308b\u52d5\u6469\u64e6\u529b\u306f\u5927\u304d\u3055\u304c\u4e00\u5b9a\u3067\u3059\u306e\u3067\uff0c\u7269\u4f53\u3082\u53f0\u3082\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n\u52a0\u901f\u5ea6\u3092\u305d\u308c\u305e\u308c $a_1,\\,a_2$ \u3068\u3059\u308b\u3068\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\uff0c<\/p>\n\n\n\n$$ma_1=-\\mu\\mskip 1mu\\prime mg,\\ Ma_2=\\mu\\mskip 1mu\\prime mg$$\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3088\u308a\uff0c$a_1=-\\mu\\mskip 1mu\\prime g$\uff0c$a_2=\\Bun{\\mu\\mskip 1mu\\prime mg}{M}$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u58c1\u306e\u4f4d\u7f6e\u3092\u539f\u70b9\u3068\u3057\u3066\uff0c\u6c34\u5e73\u53f3\u5411\u304d\u306b $x$ \u8ef8\u3092\u3068\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c\u7269\u4f53\u306e\u901f\u5ea6 $v_1$ \u304a\u3088\u3073\u53f0\u306e\u901f\u5ea6 $v_2$ \u306f\uff0c<\/p>\n\n\n\n$$v_1=v+a_1t,\\ v_2=a_2t$$\u3067\u3059\u306d\u3002<\/p>\n\n\n\n$v_1=v_2=V$ \u3092\u89e3\u304f\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\n\u5c11\u3057\u8a08\u7b97\u91cf\u304c\u591a\u304f\u3066\u3084\u3084\u3053\u3057\u3044\u3067\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u305d\u3053\u3067\uff0c\u300c\u6c42\u3081\u308b\u3082\u306e\u304c\u7d4c\u904e\u6642\u9593\u300d\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u76ee\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u7d4c\u904e\u6642\u9593\u304c\u542b\u307e\u308c\u308b\u3082\u306e\u3068\u3057\u3066\u529b\u7a4d\u304c\u3042\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n\n\n\n\u4e00\u5b9a\u306e\u529b $F$ \u304c\u6642\u9593 $\\varDelta t$ \u3060\u3051\u52a0\u308f\u3063\u305f\u3068\u304d\u306e\u529b\u7a4d\u306f $I=F\\varDelta t$ \u3067\u3042\u308a\uff0c\u7269\u4f53\u306e\u904b\u52d5\u91cf\u306e\u5909\u5316\u306b\u7b49\u3057\u304f\u306a\u308b\u306e\u3067\u3057\u305f\u3002\u3053\u308c\u3092\u5229\u7528\u3057\u305f\u65b9\u6cd5\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3092\u7528\u3044\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u7570\u306a\u308a\uff0c\u53f0\u306e\u307f\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u4e0a\u306b\u7269\u4f53\u304c\u4e57\u308a\u79fb\u3063\u305f\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u53f0\u306f\u53f3\u5411\u304d\u306b $\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u59cb\u3081\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\u7269\u4f53\u3068\u53f0\u304c\u4e00\u4f53\u3068\u306a\u308b\u307e\u3067\u4f5c\u7528\u3057\u7d9a\u3051\u308b\u305f\u3081\uff0c\u4f5c\u7528\u3057\u305f\u6642\u9593\u306f $t_1$ \u3067\u3059\u306d\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u53f0\u304c\u53f3\u5411\u304d\u306b\u53d7\u3051\u305f\u529b\u7a4d\u306f $\\mu\\mskip 1mu\\prime mgt_1$ \u3067\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u53f0\u306f\u3082\u3068\u3082\u3068\u9759\u6b62\u3057\u3066\u3044\u307e\u3057\u305f\u304c\uff0c\u901f\u3055\u304c $V$ \u3068\u306a\u3063\u305f\u305f\u3081\uff0c\u904b\u52d5\u91cf\u306e\u5909\u5316\u306f $MV-0=MV$ \u3067\u3059\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3088\u308a\uff0c<\/p>\n\n\n\n$$MV=\\mu\\mskip 1mu\\prime mgt_1$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3092\u6574\u7406\u3059\u308b\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\Bun{MV}{\\mu\\mskip 1mu\\prime mg}=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u5148\u307b\u3069\u3068\u540c\u3058\u5024\u3067\u3059\u304c\uff0c\u8a08\u7b97\u91cf\u304c\u5c11\u306a\u304f\uff0c\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u7b54\u6848\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n(3)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u6700\u5f8c\u306f\u53f0\u4e0a\u306e\u79fb\u52d5\u8ddd\u96e2\u3067\u3059\u3002\u307e\u305a\u306f\u611a\u76f4\u306b\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\u8003\u3048\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u3046\u65b9\u6cd5<\/h3>\n\n\n\n\u6642\u523b$t=t_1$ \u306b\u304a\u3051\u308b\u7269\u4f53\u3068\u53f0\u306e\u4f4d\u7f6e\u3092\u305d\u308c\u305e\u308c $x_1,\\,x_2$ \u3068\u3059\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c<\/p>\n\n\n\n$$x_1=vt_1+\\bun12a_1t_1\\!^2,\\ x_2=\\bun12a_2t_1\\!^2$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u56f3\u304b\u3089\uff0c$L=x_1-x_2$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067\uff0c\u3042\u3068\u306f\u9811\u5f35\u3063\u3066\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3067\u3059\u2026\uff01<\/p>\n\n\n\n\u30b0\u30e9\u30d5\u3067\u8003\u3048\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u3092 $v-t$ \u30b0\u30e9\u30d5\u306b\u6574\u7406\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n$v-t$ \u30b0\u30e9\u30d5\u3092\u307e\u3068\u3081\u3066\u56f3\u793a\u3059\u308b\u3053\u3068\u3067\uff0c$L=x_1-x_2$ \u304c\u53f3\u306e\u56f3\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\uff0c<\/p>\n\n\n\n$$L=\\bun12vt_1=\\bun12\\cdot\\bun{M}{m+M}\\cdot\\bun{v^2}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u306e\u6271\u3044<\/h2>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8003\u5bdf<\/h3>\n\n\n\n\u3055\u3066\uff0c\u4f8b\u984c\u306f\u7121\u4e8b\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u306e\u8003\u5bdf\u3082\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u925b\u76f4\u65b9\u5411\u306e\u529b\u306f\u4ed5\u4e8b\u3092\u3057\u307e\u305b\u3093\u306e\u3067\uff0c\u6c34\u5e73\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u3044\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u52d5\u6469\u64e6\u529b\u304c\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_1=-\\mu\\mskip 1mu\\prime mgx_1$\uff0c\u53f0\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_2=\\mu\\mskip 1mu\\prime mgx_2$ \u3068\u304b\u3051\u308b\u306e\u3067\uff0c\u52d5\u6469\u64e6\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b\u306f\uff0c<\/p>\n\n\n\n$$W=W_1+W_2=-\\mu\\mskip 1mu\\prime mg(x_1-x_2)=-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\n\u306a\u3093\u3060\u304b\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u5f62\u306b\u306a\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u53f0\u306e\u8996\u70b9\u3067\u8003\u3048\u308b<\/h3>\n\n\n\n\u3068\u3053\u308d\u3067\uff0c$L$ \u306f\u7269\u4f53\u304c\u53f0\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2\u3067\u3057\u305f\u3002\u53f0\u306e\u8996\u70b9\u304b\u3089\u3053\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\uff0c2\u7269\u4f53\u9593\u306b\u4f5c\u7528\u30fb\u53cd\u4f5c\u7528\u304c\u3044\u305a\u308c\u3082\u5b58\u5728\u3057\u3066\u3044\u308b\u306e\u3067\u5185\u529b\u3067\u3059\u306d\uff01<\/p>\n<\/div><\/div><\/div>
\u6c34\u5e73\u65b9\u5411\u306b\u306f\u3053\u306e\u5185\u529b\u3057\u304b\u4f5c\u7528\u3057\u3066\u3044\u306a\u3044\u305f\u3081\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u77ac\u9593\u304b\u3089\u305a\u3063\u3068\u5185\u529b\u3057\u304b\u4f5c\u7528\u3057\u306a\u3044\u305f\u3081\uff0c\u5341\u5206\u306b\u6642\u9593\u304c\u7d4c\u904e\u3059\u308b\u307e\u3067\uff08\u305d\u308c\u4ee5\u964d\u3082\uff09\u305a\u3063\u3068\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u305d\u3053\u3067\uff0c\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u76f4\u5f8c\u3068\uff0c\u4e00\u4f53\u3068\u306a\u3063\u3066\u904b\u52d5\u3057\u3066\u3044\u308b\u72b6\u6cc1\u306b\u3064\u3044\u3066\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3092\u7acb\u5f0f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n$$mv=mV+V\\qquad\\therefore \\quad V=\\bun{m}{m+M}v$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u306d\u3002<\/p>\n\n\n\n(2)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u3044\u304f\u3064\u304b\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u6700\u3082\u601d\u3044\u3064\u304d\u3084\u3059\u3044\u306e\u306f\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u611a\u76f4\u306b\u4f7f\u3046\u65b9\u6cd5\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u904b\u52d5\u91cf\u4fdd\u5b58\u5247<\/h3>\n\n\n\n\u7269\u4f53\u3068\u53f0\u306b\u4f5c\u7528\u3059\u308b\u52d5\u6469\u64e6\u529b\u306f\u5927\u304d\u3055\u304c\u4e00\u5b9a\u3067\u3059\u306e\u3067\uff0c\u7269\u4f53\u3082\u53f0\u3082\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n\u52a0\u901f\u5ea6\u3092\u305d\u308c\u305e\u308c $a_1,\\,a_2$ \u3068\u3059\u308b\u3068\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\uff0c<\/p>\n\n\n\n$$ma_1=-\\mu\\mskip 1mu\\prime mg,\\ Ma_2=\\mu\\mskip 1mu\\prime mg$$\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3088\u308a\uff0c$a_1=-\\mu\\mskip 1mu\\prime g$\uff0c$a_2=\\Bun{\\mu\\mskip 1mu\\prime mg}{M}$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u58c1\u306e\u4f4d\u7f6e\u3092\u539f\u70b9\u3068\u3057\u3066\uff0c\u6c34\u5e73\u53f3\u5411\u304d\u306b $x$ \u8ef8\u3092\u3068\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c\u7269\u4f53\u306e\u901f\u5ea6 $v_1$ \u304a\u3088\u3073\u53f0\u306e\u901f\u5ea6 $v_2$ \u306f\uff0c<\/p>\n\n\n\n$$v_1=v+a_1t,\\ v_2=a_2t$$\u3067\u3059\u306d\u3002<\/p>\n\n\n\n$v_1=v_2=V$ \u3092\u89e3\u304f\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\n\u5c11\u3057\u8a08\u7b97\u91cf\u304c\u591a\u304f\u3066\u3084\u3084\u3053\u3057\u3044\u3067\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u305d\u3053\u3067\uff0c\u300c\u6c42\u3081\u308b\u3082\u306e\u304c\u7d4c\u904e\u6642\u9593\u300d\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u76ee\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u7d4c\u904e\u6642\u9593\u304c\u542b\u307e\u308c\u308b\u3082\u306e\u3068\u3057\u3066\u529b\u7a4d\u304c\u3042\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n\n\n\n\u4e00\u5b9a\u306e\u529b $F$ \u304c\u6642\u9593 $\\varDelta t$ \u3060\u3051\u52a0\u308f\u3063\u305f\u3068\u304d\u306e\u529b\u7a4d\u306f $I=F\\varDelta t$ \u3067\u3042\u308a\uff0c\u7269\u4f53\u306e\u904b\u52d5\u91cf\u306e\u5909\u5316\u306b\u7b49\u3057\u304f\u306a\u308b\u306e\u3067\u3057\u305f\u3002\u3053\u308c\u3092\u5229\u7528\u3057\u305f\u65b9\u6cd5\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3092\u7528\u3044\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u7570\u306a\u308a\uff0c\u53f0\u306e\u307f\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u4e0a\u306b\u7269\u4f53\u304c\u4e57\u308a\u79fb\u3063\u305f\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u53f0\u306f\u53f3\u5411\u304d\u306b $\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u59cb\u3081\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\u7269\u4f53\u3068\u53f0\u304c\u4e00\u4f53\u3068\u306a\u308b\u307e\u3067\u4f5c\u7528\u3057\u7d9a\u3051\u308b\u305f\u3081\uff0c\u4f5c\u7528\u3057\u305f\u6642\u9593\u306f $t_1$ \u3067\u3059\u306d\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u53f0\u304c\u53f3\u5411\u304d\u306b\u53d7\u3051\u305f\u529b\u7a4d\u306f $\\mu\\mskip 1mu\\prime mgt_1$ \u3067\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u53f0\u306f\u3082\u3068\u3082\u3068\u9759\u6b62\u3057\u3066\u3044\u307e\u3057\u305f\u304c\uff0c\u901f\u3055\u304c $V$ \u3068\u306a\u3063\u305f\u305f\u3081\uff0c\u904b\u52d5\u91cf\u306e\u5909\u5316\u306f $MV-0=MV$ \u3067\u3059\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3088\u308a\uff0c<\/p>\n\n\n\n$$MV=\\mu\\mskip 1mu\\prime mgt_1$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3092\u6574\u7406\u3059\u308b\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\Bun{MV}{\\mu\\mskip 1mu\\prime mg}=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u5148\u307b\u3069\u3068\u540c\u3058\u5024\u3067\u3059\u304c\uff0c\u8a08\u7b97\u91cf\u304c\u5c11\u306a\u304f\uff0c\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u7b54\u6848\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n(3)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u6700\u5f8c\u306f\u53f0\u4e0a\u306e\u79fb\u52d5\u8ddd\u96e2\u3067\u3059\u3002\u307e\u305a\u306f\u611a\u76f4\u306b\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\u8003\u3048\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u3046\u65b9\u6cd5<\/h3>\n\n\n\n\u6642\u523b$t=t_1$ \u306b\u304a\u3051\u308b\u7269\u4f53\u3068\u53f0\u306e\u4f4d\u7f6e\u3092\u305d\u308c\u305e\u308c $x_1,\\,x_2$ \u3068\u3059\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c<\/p>\n\n\n\n$$x_1=vt_1+\\bun12a_1t_1\\!^2,\\ x_2=\\bun12a_2t_1\\!^2$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u56f3\u304b\u3089\uff0c$L=x_1-x_2$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067\uff0c\u3042\u3068\u306f\u9811\u5f35\u3063\u3066\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3067\u3059\u2026\uff01<\/p>\n\n\n\n\u30b0\u30e9\u30d5\u3067\u8003\u3048\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u3092 $v-t$ \u30b0\u30e9\u30d5\u306b\u6574\u7406\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n$v-t$ \u30b0\u30e9\u30d5\u3092\u307e\u3068\u3081\u3066\u56f3\u793a\u3059\u308b\u3053\u3068\u3067\uff0c$L=x_1-x_2$ \u304c\u53f3\u306e\u56f3\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\uff0c<\/p>\n\n\n\n$$L=\\bun12vt_1=\\bun12\\cdot\\bun{M}{m+M}\\cdot\\bun{v^2}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u306e\u6271\u3044<\/h2>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8003\u5bdf<\/h3>\n\n\n\n\u3055\u3066\uff0c\u4f8b\u984c\u306f\u7121\u4e8b\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u306e\u8003\u5bdf\u3082\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u925b\u76f4\u65b9\u5411\u306e\u529b\u306f\u4ed5\u4e8b\u3092\u3057\u307e\u305b\u3093\u306e\u3067\uff0c\u6c34\u5e73\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u3044\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u52d5\u6469\u64e6\u529b\u304c\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_1=-\\mu\\mskip 1mu\\prime mgx_1$\uff0c\u53f0\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_2=\\mu\\mskip 1mu\\prime mgx_2$ \u3068\u304b\u3051\u308b\u306e\u3067\uff0c\u52d5\u6469\u64e6\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b\u306f\uff0c<\/p>\n\n\n\n$$W=W_1+W_2=-\\mu\\mskip 1mu\\prime mg(x_1-x_2)=-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\n\u306a\u3093\u3060\u304b\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u5f62\u306b\u306a\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u53f0\u306e\u8996\u70b9\u3067\u8003\u3048\u308b<\/h3>\n\n\n\n\u3068\u3053\u308d\u3067\uff0c$L$ \u306f\u7269\u4f53\u304c\u53f0\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2\u3067\u3057\u305f\u3002\u53f0\u306e\u8996\u70b9\u304b\u3089\u3053\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u305d\u3053\u3067\uff0c\u7269\u4f53\u304c\u53f0\u306b\u4e57\u308a\u79fb\u3063\u305f\u76f4\u5f8c\u3068\uff0c\u4e00\u4f53\u3068\u306a\u3063\u3066\u904b\u52d5\u3057\u3066\u3044\u308b\u72b6\u6cc1\u306b\u3064\u3044\u3066\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3092\u7acb\u5f0f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
$$mv=mV+V\\qquad\\therefore \\quad V=\\bun{m}{m+M}v$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u306d\u3002<\/p>\n\n\n\n
\u3044\u304f\u3064\u304b\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u6700\u3082\u601d\u3044\u3064\u304d\u3084\u3059\u3044\u306e\u306f\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u611a\u76f4\u306b\u4f7f\u3046\u65b9\u6cd5\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n
\u7269\u4f53\u3068\u53f0\u306b\u4f5c\u7528\u3059\u308b\u52d5\u6469\u64e6\u529b\u306f\u5927\u304d\u3055\u304c\u4e00\u5b9a\u3067\u3059\u306e\u3067\uff0c\u7269\u4f53\u3082\u53f0\u3082\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n
\u52a0\u901f\u5ea6\u3092\u305d\u308c\u305e\u308c $a_1,\\,a_2$ \u3068\u3059\u308b\u3068\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\uff0c<\/p>\n\n\n\n
$$ma_1=-\\mu\\mskip 1mu\\prime mg,\\ Ma_2=\\mu\\mskip 1mu\\prime mg$$\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
\u3053\u308c\u3088\u308a\uff0c$a_1=-\\mu\\mskip 1mu\\prime g$\uff0c$a_2=\\Bun{\\mu\\mskip 1mu\\prime mg}{M}$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n
\u58c1\u306e\u4f4d\u7f6e\u3092\u539f\u70b9\u3068\u3057\u3066\uff0c\u6c34\u5e73\u53f3\u5411\u304d\u306b $x$ \u8ef8\u3092\u3068\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c\u7269\u4f53\u306e\u901f\u5ea6 $v_1$ \u304a\u3088\u3073\u53f0\u306e\u901f\u5ea6 $v_2$ \u306f\uff0c<\/p>\n\n\n\n
$$v_1=v+a_1t,\\ v_2=a_2t$$\u3067\u3059\u306d\u3002<\/p>\n\n\n\n
$v_1=v_2=V$ \u3092\u89e3\u304f\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n
$$t_1=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n
\u5c11\u3057\u8a08\u7b97\u91cf\u304c\u591a\u304f\u3066\u3084\u3084\u3053\u3057\u3044\u3067\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div>
\u305d\u3053\u3067\uff0c\u300c\u6c42\u3081\u308b\u3082\u306e\u304c\u7d4c\u904e\u6642\u9593\u300d\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u76ee\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n
\u7d4c\u904e\u6642\u9593\u304c\u542b\u307e\u308c\u308b\u3082\u306e\u3068\u3057\u3066\u529b\u7a4d\u304c\u3042\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n\n\n\n
\u4e00\u5b9a\u306e\u529b $F$ \u304c\u6642\u9593 $\\varDelta t$ \u3060\u3051\u52a0\u308f\u3063\u305f\u3068\u304d\u306e\u529b\u7a4d\u306f $I=F\\varDelta t$ \u3067\u3042\u308a\uff0c\u7269\u4f53\u306e\u904b\u52d5\u91cf\u306e\u5909\u5316\u306b\u7b49\u3057\u304f\u306a\u308b\u306e\u3067\u3057\u305f\u3002\u3053\u308c\u3092\u5229\u7528\u3057\u305f\u65b9\u6cd5\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n
\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u7570\u306a\u308a\uff0c\u53f0\u306e\u307f\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u4e0a\u306b\u7269\u4f53\u304c\u4e57\u308a\u79fb\u3063\u305f\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u53f0\u306f\u53f3\u5411\u304d\u306b $\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u59cb\u3081\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\u7269\u4f53\u3068\u53f0\u304c\u4e00\u4f53\u3068\u306a\u308b\u307e\u3067\u4f5c\u7528\u3057\u7d9a\u3051\u308b\u305f\u3081\uff0c\u4f5c\u7528\u3057\u305f\u6642\u9593\u306f $t_1$ \u3067\u3059\u306d\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u53f0\u304c\u53f3\u5411\u304d\u306b\u53d7\u3051\u305f\u529b\u7a4d\u306f $\\mu\\mskip 1mu\\prime mgt_1$ \u3067\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u53f0\u306f\u3082\u3068\u3082\u3068\u9759\u6b62\u3057\u3066\u3044\u307e\u3057\u305f\u304c\uff0c\u901f\u3055\u304c $V$ \u3068\u306a\u3063\u305f\u305f\u3081\uff0c\u904b\u52d5\u91cf\u306e\u5909\u5316\u306f $MV-0=MV$ \u3067\u3059\u3002<\/p>\n\n\n\n\u3088\u3063\u3066\uff0c\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3088\u308a\uff0c<\/p>\n\n\n\n$$MV=\\mu\\mskip 1mu\\prime mgt_1$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u308c\u3092\u6574\u7406\u3059\u308b\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n$$t_1=\\Bun{MV}{\\mu\\mskip 1mu\\prime mg}=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript>\u7fbd\u767d<\/div><\/div>\n\u5148\u307b\u3069\u3068\u540c\u3058\u5024\u3067\u3059\u304c\uff0c\u8a08\u7b97\u91cf\u304c\u5c11\u306a\u304f\uff0c\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u7b54\u6848\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n(3)\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n\u6700\u5f8c\u306f\u53f0\u4e0a\u306e\u79fb\u52d5\u8ddd\u96e2\u3067\u3059\u3002\u307e\u305a\u306f\u611a\u76f4\u306b\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\u8003\u3048\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u3046\u65b9\u6cd5<\/h3>\n\n\n\n\u6642\u523b$t=t_1$ \u306b\u304a\u3051\u308b\u7269\u4f53\u3068\u53f0\u306e\u4f4d\u7f6e\u3092\u305d\u308c\u305e\u308c $x_1,\\,x_2$ \u3068\u3059\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c<\/p>\n\n\n\n$$x_1=vt_1+\\bun12a_1t_1\\!^2,\\ x_2=\\bun12a_2t_1\\!^2$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u56f3\u304b\u3089\uff0c$L=x_1-x_2$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067\uff0c\u3042\u3068\u306f\u9811\u5f35\u3063\u3066\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3067\u3059\u2026\uff01<\/p>\n\n\n\n\u30b0\u30e9\u30d5\u3067\u8003\u3048\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u3092 $v-t$ \u30b0\u30e9\u30d5\u306b\u6574\u7406\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n$v-t$ \u30b0\u30e9\u30d5\u3092\u307e\u3068\u3081\u3066\u56f3\u793a\u3059\u308b\u3053\u3068\u3067\uff0c$L=x_1-x_2$ \u304c\u53f3\u306e\u56f3\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\uff0c<\/p>\n\n\n\n$$L=\\bun12vt_1=\\bun12\\cdot\\bun{M}{m+M}\\cdot\\bun{v^2}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u306e\u6271\u3044<\/h2>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8003\u5bdf<\/h3>\n\n\n\n\u3055\u3066\uff0c\u4f8b\u984c\u306f\u7121\u4e8b\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u306e\u8003\u5bdf\u3082\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u925b\u76f4\u65b9\u5411\u306e\u529b\u306f\u4ed5\u4e8b\u3092\u3057\u307e\u305b\u3093\u306e\u3067\uff0c\u6c34\u5e73\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u3044\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u52d5\u6469\u64e6\u529b\u304c\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_1=-\\mu\\mskip 1mu\\prime mgx_1$\uff0c\u53f0\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_2=\\mu\\mskip 1mu\\prime mgx_2$ \u3068\u304b\u3051\u308b\u306e\u3067\uff0c\u52d5\u6469\u64e6\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b\u306f\uff0c<\/p>\n\n\n\n$$W=W_1+W_2=-\\mu\\mskip 1mu\\prime mg(x_1-x_2)=-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\n\u306a\u3093\u3060\u304b\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u5f62\u306b\u306a\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u53f0\u306e\u8996\u70b9\u3067\u8003\u3048\u308b<\/h3>\n\n\n\n\u3068\u3053\u308d\u3067\uff0c$L$ \u306f\u7269\u4f53\u304c\u53f0\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2\u3067\u3057\u305f\u3002\u53f0\u306e\u8996\u70b9\u304b\u3089\u3053\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u53f0\u4e0a\u306b\u7269\u4f53\u304c\u4e57\u308a\u79fb\u3063\u305f\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u53f0\u306f\u53f3\u5411\u304d\u306b $\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u59cb\u3081\u307e\u3059\u3002<\/p>\n\n\n\n
\u3053\u306e\u52d5\u6469\u64e6\u529b\u306f\u7269\u4f53\u3068\u53f0\u304c\u4e00\u4f53\u3068\u306a\u308b\u307e\u3067\u4f5c\u7528\u3057\u7d9a\u3051\u308b\u305f\u3081\uff0c\u4f5c\u7528\u3057\u305f\u6642\u9593\u306f $t_1$ \u3067\u3059\u306d\u3002<\/p>\n\n\n\n
\u3088\u3063\u3066\uff0c\u53f0\u304c\u53f3\u5411\u304d\u306b\u53d7\u3051\u305f\u529b\u7a4d\u306f $\\mu\\mskip 1mu\\prime mgt_1$ \u3067\u3059\u3002<\/p>\n\n\n\n
\u53f0\u306f\u3082\u3068\u3082\u3068\u9759\u6b62\u3057\u3066\u3044\u307e\u3057\u305f\u304c\uff0c\u901f\u3055\u304c $V$ \u3068\u306a\u3063\u305f\u305f\u3081\uff0c\u904b\u52d5\u91cf\u306e\u5909\u5316\u306f $MV-0=MV$ \u3067\u3059\u3002<\/p>\n\n\n\n
\u3088\u3063\u3066\uff0c\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u3088\u308a\uff0c<\/p>\n\n\n\n
$$MV=\\mu\\mskip 1mu\\prime mgt_1$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n
\u3053\u308c\u3092\u6574\u7406\u3059\u308b\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n
$$t_1=\\Bun{MV}{\\mu\\mskip 1mu\\prime mg}=\\bun{M}{m+M}\\cdot\\bun{v}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u7b54\u3048\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n
\u5148\u307b\u3069\u3068\u540c\u3058\u5024\u3067\u3059\u304c\uff0c\u8a08\u7b97\u91cf\u304c\u5c11\u306a\u304f\uff0c\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u7b54\u6848\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n
\u6700\u5f8c\u306f\u53f0\u4e0a\u306e\u79fb\u52d5\u8ddd\u96e2\u3067\u3059\u3002\u307e\u305a\u306f\u611a\u76f4\u306b\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\u8003\u3048\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n
\u6642\u523b$t=t_1$ \u306b\u304a\u3051\u308b\u7269\u4f53\u3068\u53f0\u306e\u4f4d\u7f6e\u3092\u305d\u308c\u305e\u308c $x_1,\\,x_2$ \u3068\u3059\u308b\u3068\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u304b\u3089\uff0c<\/p>\n\n\n\n
$$x_1=vt_1+\\bun12a_1t_1\\!^2,\\ x_2=\\bun12a_2t_1\\!^2$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u56f3\u304b\u3089\uff0c$L=x_1-x_2$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067\uff0c\u3042\u3068\u306f\u9811\u5f35\u3063\u3066\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3067\u3059\u2026\uff01<\/p>\n\n\n\n\u30b0\u30e9\u30d5\u3067\u8003\u3048\u308b\u65b9\u6cd5<\/h3>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u3092 $v-t$ \u30b0\u30e9\u30d5\u306b\u6574\u7406\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n$v-t$ \u30b0\u30e9\u30d5\u3092\u307e\u3068\u3081\u3066\u56f3\u793a\u3059\u308b\u3053\u3068\u3067\uff0c$L=x_1-x_2$ \u304c\u53f3\u306e\u56f3\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\uff0c<\/p>\n\n\n\n$$L=\\bun12vt_1=\\bun12\\cdot\\bun{M}{m+M}\\cdot\\bun{v^2}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u306e\u6271\u3044<\/h2>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8003\u5bdf<\/h3>\n\n\n\n\u3055\u3066\uff0c\u4f8b\u984c\u306f\u7121\u4e8b\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u306e\u8003\u5bdf\u3082\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u925b\u76f4\u65b9\u5411\u306e\u529b\u306f\u4ed5\u4e8b\u3092\u3057\u307e\u305b\u3093\u306e\u3067\uff0c\u6c34\u5e73\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u3044\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u52d5\u6469\u64e6\u529b\u304c\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_1=-\\mu\\mskip 1mu\\prime mgx_1$\uff0c\u53f0\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_2=\\mu\\mskip 1mu\\prime mgx_2$ \u3068\u304b\u3051\u308b\u306e\u3067\uff0c\u52d5\u6469\u64e6\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b\u306f\uff0c<\/p>\n\n\n\n$$W=W_1+W_2=-\\mu\\mskip 1mu\\prime mg(x_1-x_2)=-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\n\u306a\u3093\u3060\u304b\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u5f62\u306b\u306a\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u53f0\u306e\u8996\u70b9\u3067\u8003\u3048\u308b<\/h3>\n\n\n\n\u3068\u3053\u308d\u3067\uff0c$L$ \u306f\u7269\u4f53\u304c\u53f0\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2\u3067\u3057\u305f\u3002\u53f0\u306e\u8996\u70b9\u304b\u3089\u3053\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u56f3\u304b\u3089\uff0c$L=x_1-x_2$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067\uff0c\u3042\u3068\u306f\u9811\u5f35\u3063\u3066\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3067\u3059\u2026\uff01<\/p>\n\n\n\n
\u4eca\u56de\u306e\u72b6\u6cc1\u3092 $v-t$ \u30b0\u30e9\u30d5\u306b\u6574\u7406\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n$v-t$ \u30b0\u30e9\u30d5\u3092\u307e\u3068\u3081\u3066\u56f3\u793a\u3059\u308b\u3053\u3068\u3067\uff0c$L=x_1-x_2$ \u304c\u53f3\u306e\u56f3\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\uff0c<\/p>\n\n\n\n$$L=\\bun12vt_1=\\bun12\\cdot\\bun{M}{m+M}\\cdot\\bun{v^2}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n2\u4f53\u554f\u984c\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u306e\u6271\u3044<\/h2>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8003\u5bdf<\/h3>\n\n\n\n\u3055\u3066\uff0c\u4f8b\u984c\u306f\u7121\u4e8b\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u306e\u8003\u5bdf\u3082\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u925b\u76f4\u65b9\u5411\u306e\u529b\u306f\u4ed5\u4e8b\u3092\u3057\u307e\u305b\u3093\u306e\u3067\uff0c\u6c34\u5e73\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u3044\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u52d5\u6469\u64e6\u529b\u304c\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_1=-\\mu\\mskip 1mu\\prime mgx_1$\uff0c\u53f0\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_2=\\mu\\mskip 1mu\\prime mgx_2$ \u3068\u304b\u3051\u308b\u306e\u3067\uff0c\u52d5\u6469\u64e6\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b\u306f\uff0c<\/p>\n\n\n\n$$W=W_1+W_2=-\\mu\\mskip 1mu\\prime mg(x_1-x_2)=-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\n\u306a\u3093\u3060\u304b\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u5f62\u306b\u306a\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/noscript>\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n\u53f0\u306e\u8996\u70b9\u3067\u8003\u3048\u308b<\/h3>\n\n\n\n\u3068\u3053\u308d\u3067\uff0c$L$ \u306f\u7269\u4f53\u304c\u53f0\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2\u3067\u3057\u305f\u3002\u53f0\u306e\u8996\u70b9\u304b\u3089\u3053\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
$v-t$ \u30b0\u30e9\u30d5\u3092\u307e\u3068\u3081\u3066\u56f3\u793a\u3059\u308b\u3053\u3068\u3067\uff0c$L=x_1-x_2$ \u304c\u53f3\u306e\u56f3\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\uff0c<\/p>\n\n\n\n
$$L=\\bun12vt_1=\\bun12\\cdot\\bun{M}{m+M}\\cdot\\bun{v^2}{\\mu\\mskip 1mu\\prime g}$$\u3068\u3057\u3066\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n
\u3055\u3066\uff0c\u4f8b\u984c\u306f\u7121\u4e8b\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u306e\u8003\u5bdf\u3082\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n
\u925b\u76f4\u65b9\u5411\u306e\u529b\u306f\u4ed5\u4e8b\u3092\u3057\u307e\u305b\u3093\u306e\u3067\uff0c\u6c34\u5e73\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u3044\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n
\u52d5\u6469\u64e6\u529b\u304c\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_1=-\\mu\\mskip 1mu\\prime mgx_1$\uff0c\u53f0\u306b\u3057\u305f\u4ed5\u4e8b\u306f $W_2=\\mu\\mskip 1mu\\prime mgx_2$ \u3068\u304b\u3051\u308b\u306e\u3067\uff0c\u52d5\u6469\u64e6\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b\u306f\uff0c<\/p>\n\n\n\n
$$W=W_1+W_2=-\\mu\\mskip 1mu\\prime mg(x_1-x_2)=-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n
\u306a\u3093\u3060\u304b\u30b9\u30c3\u30ad\u30ea\u3057\u305f\u5f62\u306b\u306a\u308a\u307e\u3057\u305f\u306d\u3002<\/p>\n<\/div><\/div><\/div>
\u3068\u3053\u308d\u3067\uff0c$L$ \u306f\u7269\u4f53\u304c\u53f0\u4e0a\u3092\u6ed1\u3063\u305f\u8ddd\u96e2\u3067\u3057\u305f\u3002\u53f0\u306e\u8996\u70b9\u304b\u3089\u3053\u306e\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<\/noscript><\/figure>\n\n\n\n\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u53f0\u306e\u8996\u70b9\u304b\u3089\u7269\u4f53\u306e\u904b\u52d5\u3092\u307f\u308b\u3068\uff0c\u300c\u53f3\u5411\u304d\u306b $L$ \u3060\u3051\u9032\u3093\u3067\u6b62\u307e\u308b\u300d\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u904b\u52d5\u3057\u3066\u3044\u308b\u969b\u306b\u306f\uff0c\u9032\u884c\u65b9\u5411\u3068\u9006\u5411\u304d\u306b $-\\mu\\mskip 1mu\\prime mg$ \u306e\u52d5\u6469\u64e6\u529b\u3092\u53d7\u3051\u3066\u3044\u307e\u3059\u306d\uff08\u8996\u70b9\u304c\u5909\u308f\u3063\u3066\u3082\u529b\u306e\u5927\u304d\u3055\uff0c\u5411\u304d\u306f\u5909\u308f\u3089\u306a\u3044\uff01<\/span>\uff09\u3002<\/p>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n\u7d50\u8ad6<\/h3>\n\n\n\n\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u53f0\u306e\u8996\u70b9\u304b\u3089\u307f\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b$W\\mskip 1mu\\prime $ \u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n
$$W\\mskip 1mu\\prime =-\\mu\\mskip 1mu\\prime mgL$$\u3067\u3059\u3002<\/p>\n\n\n\n
\u3068\u3044\u3046\u3053\u3068\u3067\uff0c$W$ \u3068 $W\\mskip 1mu\\prime $ \u304c\u4e00\u81f4\u3057\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n
$W$ \u306f\u300c\u9759\u6b62\u7cfb\u306b\u304a\u3044\u3066\uff0c\u52d5\u6469\u64e6\u529b\u304c2\u7269\u4f53\u306b\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u300d\u3067\u3042\u308a\uff0c$W\\mskip 1mu\\prime $ \u306f\u300c\u7247\u65b9\u306e\u8996\u70b9\uff08\u4eca\u56de\u306f\u53f0\u3067\u8003\u3048\u305f\uff09\u3067\u6c42\u3081\u305f\u52d5\u6469\u64e6\u529b\u306e\u4ed5\u4e8b\u300d\u3067\u3059\u3002<\/p>\n\n\n\n
\u4eca\u56de\u306e\u72b6\u6cc1\u306b\u9650\u3089\u305a\uff0c\u4e00\u822c\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
<\/i>\u5185\u529b\u306e\u5408\u8a08\u306e\u4ed5\u4e8b<\/p>\n\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3057\u3066<\/h3>\n\n\n\n\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<\/div>\n\n\n\n\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
\u5185\u529b\u304c2\u7269\u4f53\u306b\u306a\u3059\u4ed5\u4e8b\u306e\u5408\u8a08\u306f\uff0c\u7247\u65b9\u306e\u7269\u4f53\u306e\u8996\u70b9\u304b\u3089\u8a08\u7b97\u3057\u305f\u969b\u306e\u4ed5\u4e8b\u306b\u7b49\u3057\u304f\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n
\u3053\u306e\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\uff0c\u7cfb\u306b\u5bfe\u3057\u3066\u52d5\u6469\u64e6\u529b\u304c\u3057\u305f\u4ed5\u4e8b\u306e\u5408\u8a08\u304c\u901f\u3084\u304b\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n
\u3053\u306e\u4ed5\u4e8b\u304c\u7cfb\u306e\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306b\u7b49\u3057\u304f\u306a\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n
$$\\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL$$\u3068\u7acb\u5f0f\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n
\u7d50\u5c40\uff0c\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306e\u516c\u5f0f\u3092\u4f7f\u308f\u306a\u304f\u3068\u3082\uff0c<\/p>\n\n\n\n
$$\\begin{aligned} \\stext{\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff1a}&\\ mv=(m+M)V\\\\ \\stext{\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\uff1a}&\\ MV=\\mu\\mskip 1mu\\prime mgt_1\\\\ \\stext{\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\uff1a}&\\ \\bun12(m+M)V^2-\\bun12mv^2=-\\mu\\mskip 1mu\\prime mgL \\end{aligned}$$\u3068\u3044\u30463\u3064\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u5168\u3066\u306e\u8a2d\u554f\u304c\u89e3\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n
\u25b6 \u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u30fb\u8981\u70b9\u6574\u7406\u306f\u3053\u3061\u3089<\/strong><\/p>\n\n\n\n<\/noscript><\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3068\u885d\u7a81\u306e\u307e\u3068\u3081\u3010\u5b66\u7fd2\u30ed\u30fc\u30c9\u30de\u30c3\u30d7\u3011<\/div>\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u30fb\u885d\u7a81\u30b7\u30ea\u30fc\u30ba4\u8a18\u4e8b\u306e\u5b66\u7fd2\u9806\u30ac\u30a4\u30c9\u3002\u53cd\u767a\u4fc2\u6570\u306e\u8981\u70b9\u3084\u885d\u7a81\u554f\u984c\u306e\u89e3\u6cd5\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30fb\u3064\u307e\u305a\u304d\u30dd\u30a4\u30f3\u30c8\u3092\u7dcf\u6574\u7406\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\u8a73\u3057\u304f\u898b\u308b<\/a><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
2\u4f53\u554f\u984c\u3092\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u3060\u3051\u3067\u306a\u304f\uff0c\u529b\u7a4d\u30fb\u7b49\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u30fb\u30b0\u30e9\u30d5\u3068\u3044\u3046\u8907\u6570\u306e\u5207\u308a\u53e3\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":4360,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4361","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\n\t\t\n
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