{"id":4669,"date":"2023-06-09T16:48:44","date_gmt":"2023-06-09T07:48:44","guid":{"rendered":"https:\/\/torisetudy.com\/?p=4669"},"modified":"2025-04-03T00:51:29","modified_gmt":"2025-04-02T15:51:29","slug":"%e5%8d%98%e6%8c%af%e5%8b%95%e3%81%ae%e8%a7%a3%e6%9e%90%e6%89%8b%e9%a0%86","status":"publish","type":"post","link":"https:\/\/torisetudy.com\/?p=4669","title":{"rendered":"\u5358\u632f\u52d5\u306e\u89e3\u6790\u624b\u9806"},"content":{"rendered":"\n<div id=\"toc_container\" class=\"no_bullets\"><p class=\"toc_title\">\u76ee\u6b21<\/p><ul class=\"toc_list\"><li><a href=\"#i\"><span class=\"toc_number toc_depth_1\">1<\/span> \u5358\u632f\u52d5\u3068\u529b<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u5fa9\u5143\u529b<\/a><\/li><li><a href=\"#i-3\"><span class=\"toc_number toc_depth_1\">3<\/span> \u5358\u632f\u52d5\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f<\/a><\/li><li><a href=\"#i-4\"><span class=\"toc_number toc_depth_1\">4<\/span> \u89e3\u6790\u624b\u9806<\/a><\/li><li><a href=\"#i-5\"><span class=\"toc_number toc_depth_1\">5<\/span> \u521d\u671f\u6761\u4ef6\u306e\u8003\u3048\u65b9<\/a><\/li><li><a href=\"#i-6\"><span class=\"toc_number toc_depth_1\">6<\/span> \u539f\u70b9\u306e\u53d6\u308a\u65b9\u306b\u3064\u3044\u3066<\/a><\/li><\/ul><\/div>\n<h2 class=\"wp-block-heading\"><span id=\"i\">\u5358\u632f\u52d5\u3068\u529b<\/span><\/h2>\n\n\n\n<p>\u3053\u3053\u307e\u3067\u306e\u8a71\u3067\uff0c\u5358\u632f\u52d5\u304c\u3069\u3093\u306a\u904b\u52d5\u304b\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u3057\u304b\u3057\uff01\u307f\u306a\u3055\u3093\u304c\u5b66\u7fd2\u3057\u3066\u3044\u308b\u306e\u306f\u300c\u529b\u5b66\u300d\u3067\u3059\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u7269\u4f53\u306b\u3069\u3093\u306a\u529b\u304c\u50cd\u304f\u3068\uff0c\u305d\u306e\u7269\u4f53\u304c\u5358\u632f\u52d5\u3092\u3059\u308b\u306e\u304b\u304c\u308f\u304b\u3089\u306a\u3044\u3068\u3069\u3046\u3057\u3088\u3046\u3082\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u5c11\u3057\u6570\u5b66\u7684\u306b\u96e3\u3057\u3044\u8a71\u306b\u306a\u3063\u3066\u3057\u307e\u3046\u306e\u3067\uff0c\u5148\u306b\u7b54\u3048\u304b\u3089\u304a\u4f1d\u3048\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-my-box st-mybox has-title post-hashiro-normalbox\" style=\"background-color:#fff;border-color:#777777\"><p class=\"st-mybox-title\" style=\"color:#777777;font-weight:bold;text-shadow:#fff 3px 0px 0px, #fff 2.83487px .981584px 0px, #fff 2.35766px 1.85511px 0px, #fff 1.62091px 2.52441px 0px, #fff .705713px 2.91581px 0px, #fff -0.287171px 2.98622px 0px, #fff -1.24844px 2.72789px 0px, #fff -2.07227px 2.16926px 0px, #fff -2.66798px 1.37182px 0px, #fff -2.96998px .42336px 0px, #fff -2.94502px -0.571704px 0px, #fff -2.59586px -1.50383px 0px, #fff -1.96093px -2.27041px 0px, #fff -1.11013px -2.78704px 0px, #fff -0.137119px -2.99686px 0px, #fff .850987px -2.87677px 0px, #fff 1.74541px -2.43999px 0px, #fff 2.44769px -1.73459px 0px, #fff 2.88051px -0.838246px 0px;background:linear-gradient(0deg, #fff 0%, #fff 55%, rgba(0, 0, 0, 0) 55%, rgba(0, 0, 0, 0) 100%)\"><i class=\"st-fa st-svg-check-circle st-css-no\" aria-hidden=\"\"><\/i>\u7d50\u8ad6<\/p><div class=\"st-in-mybox\">\n<p>\u7269\u4f53\u306b $f=-k(x-x_0)$ \u306e\u5f62\u3067\u8868\u3055\u308c\u308b\u529b\u304c\u50cd\u304f\u3068\u304d\uff0c\u7269\u4f53\u306f $x=x_0+A\\sin(\\omega t+\\varphi)$ \u3067\u8868\u3055\u308c\u308b\u5358\u632f\u52d5\u3092\u884c\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3044\u304d\u306a\u308a\u7d50\u8ad6\u3092\u3044\u308f\u308c\u3066\u3082\u3071\u3063\u3068\u7406\u89e3\u3067\u304d\u306a\u3044\u3068\u601d\u3044\u307e\u3059\u306e\u3067\uff0c\u9806\u306b\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-2\">\u5fa9\u5143\u529b<\/span><\/h2>\n\n\n\n<p>\u307e\u305a\uff0c$f=-k(x-x_0)$ \u3068\u3044\u3046\u529b\u306b\u3064\u3044\u3066\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"156\" height=\"103\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406530.svg\" alt=\"\" class=\"wp-image-4588\"\/><noscript><img decoding=\"async\" width=\"156\" height=\"103\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406530.svg\" alt=\"\" class=\"wp-image-4588\"\/><\/noscript><\/figure>\n\n\n\n<p>$k$ \u306f\u3042\u308b\u5b9a\u6570\u3060\u3068\u8003\u3048\u3066\u304f\u3060\u3055\u3044\u3002$x-x_0$ \u306f\uff0c\u4f4d\u7f6e $x_0$ \u304b\u3089\u306e\u5909\u4f4d\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3092\u5b9a\u6570\u500d\u3057\u3066\uff0c\u30de\u30a4\u30ca\u30b9\u3092\u4ed8\u3051\u305f\u3082\u306e\u304c $f$ \u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u30de\u30a4\u30ca\u30b9\u304c\u4ed8\u3044\u3066\u3044\u308b\u3053\u3068\u304b\u3089\uff0c\u529b\u306e\u5411\u304d\u306f $x_0$ \u304b\u3089\u306e\u5909\u4f4d\u306e\u53cd\u5bfe\u5411\u304d\u3068\u3044\u3046\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u306f\u3064\u307e\u308a\uff0c<span class=\"st-mymarker-s-b\">$x_0$ \u306b\u623b\u3059\u5411\u304d<\/span>\u3067\u3059\u3002\u7269\u4f53\u304c $x_0$ \u304b\u3089\u53f3\u306b\u30ba\u30ec\u305f\u3089\u5de6\u5411\u304d\u306b\u529b\u304c\u50cd\u304d\uff0c\u5de6\u306b\u30ba\u30ec\u305f\u3089\u53f3\u5411\u304d\u306b\u529b\u304c\u50cd\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u3088\u3063\u3066\uff0c\u300c$f$ \u306f\uff0c$x_0$ \u304b\u3089\u306e\u5909\u4f4d\uff08\u30ba\u30ec\uff09\u306b\u6bd4\u4f8b\u3057\u305f\u5927\u304d\u3055\u3067\uff0c$x_0$ \u306b\u5411\u304b\u3046\u5411\u304d\u306e\u529b\u300d\u3068\u307e\u3068\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u529b\u3092<span class=\"st-mymarker-s\">\u5fa9\u5143\u529b<\/span>\u3068\u3044\u3044\uff0c$k$ \u3092<span class=\"st-mymarker-s\">\u5fa9\u5143\u529b\u306e\u6bd4\u4f8b\u5b9a\u6570<\/span>\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon4 clearfix\"><div class=\"st-kaiwa-area2\"><div class=\"st-kaiwa-hukidashi2\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u6700\u3082\u308f\u304b\u308a\u3084\u3059\u3044\u5fa9\u5143\u529b\u306e\u4f8b\u306f\uff0c\u3070\u306d\u306e\u5f3e\u6027\u529b\u3067\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><div class=\"st-kaiwa-face2\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u751f\u5f92\uff08\u5b66\u7fd2\uff09.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u751f\u5f92\uff08\u5b66\u7fd2\uff09.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name2\">\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n<p>$x=x_0$ \u306e\u3068\u304d $f=0$ \u306b\u306a\u308a\u307e\u3059\u306e\u3067\uff0c$x_0$ \u306f\u529b\u304c\u3064\u308a\u5408\u3046\u70b9\u3067\u3059\u3002<\/p>\n\n\n\n<p>$x_0$ \u306f\u5358\u632f\u52d5\u306e\u632f\u52d5\u4e2d\u5fc3\u3092\u8868\u3057\u3066\u3044\u307e\u3057\u305f\u306e\u3067\uff0c<span class=\"st-mymarker-s\">\u5358\u632f\u52d5\u306e\u632f\u52d5\u4e2d\u5fc3\u306f\uff0c\u529b\u306e\u3064\u308a\u5408\u3044\u304c\u6210\u308a\u7acb\u3064\u70b9<\/span>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-3\">\u5358\u632f\u52d5\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u904b\u52d5\u65b9\u7a0b\u5f0f<\/h3>\n\n\n\n<p>\u7269\u4f53\u306b\u4f5c\u7528\u3059\u308b\u529b\u304c $f=-k(x-x_0)$ \u306e\u3068\u304d\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\uff0c<\/p>\n\n\n\n<p>$$ma=-k(x-x_0)$$\u3068\u304b\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u52a0\u901f\u5ea6\u306f $x$ \u306e2\u968e\u5fae\u5206\u3067\u3057\u305f\u306e\u3067\uff0c\u3053\u308c\u3092\u66f8\u304d\u63db\u3048\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$m\\Bun{\\d^2x}{\\dt^2}=-k(x-x_0)$$\u3068\u3044\u3046\u5f62\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u306f $x$ \u306b\u3064\u3044\u3066\u306e\u65b9\u7a0b\u5f0f\u3068\u306a\u3063\u3066\u3044\u3066\uff0c\u5fae\u5206\u3092\u542b\u3080\u5f62\u306a\u306e\u3067\u300c\u5fae\u5206\u65b9\u7a0b\u5f0f\u300d\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u89e3\u304f\u306e\u306f\u6570\u5b66\u7684\u306b\u96e3\u3057\u3044\u306e\u3067\uff0c\u300c\u3053\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\uff08$x$ \u3092\u6c42\u3081\u308b\u3068\uff09\uff0c$x=x_0+A\\sin(\\omega t+\\varphi)$ \u304c\u5f97\u3089\u308c\u308b\u300d\u3068\u3044\u3046\u3068\u3053\u308d\u306f\u300c\u305d\u3046\u3044\u3046\u3082\u306e\u3060\u300d\u3068\u601d\u3063\u3066\u7d0d\u5f97\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon3 clearfix\"><div class=\"st-kaiwa-area2\"><div class=\"st-kaiwa-hukidashi2\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u3053\u308c\u3067\u5148\u306b\u793a\u3057\u305f\u300c\u7d50\u8ad6\u300d\u306b\u305f\u3069\u308a\u7740\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\uff01<\/p>\n<\/div><\/div><\/div><div class=\"st-kaiwa-face2\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u751f\u5f92\uff08\u6319\u624b\uff09.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u751f\u5f92\uff08\u6319\u624b\uff09.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name2\">\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-4\">\u89e3\u6790\u624b\u9806<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u89e3\u6790\u624b\u9806\u306b\u3064\u3044\u3066<\/h3>\n\n\n\n<p>\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3068\uff0c$a=-\\Bun{k}{m}(x-x_0)$ \u3068\u3044\u3046\u5f62\u304c\u51fa\u3066\u304d\u307e\u3059\u304c\uff0c\u52a0\u901f\u5ea6\u306f\u5fc5\u305a $a=-\\omega^2(x-x_0)$ \u306e\u5f62\u3067\u304b\u3051\u308b\u306e\u3067\u3057\u305f\u3002\u3053\u306e2\u5f0f\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n<p>$$\\omega^2=\\bun{k}{m}\\qquad \\therefore\\quad \\omega=\\sqrt{\\bun{k}{m}}$$\u306e\u3088\u3046\u306b $\\omega$ \u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u3064\u307e\u308a\u5358\u632f\u52d5\u306e\u554f\u984c\u3092\u89e3\u304f\u969b\u306b\u306f\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u7acb\u3066\u3066\uff0c$a=-\\stext{\u25a1}(x-\\stext{\u25ef})$ \u306e\u5f62\u306b\u5909\u5f62\u3057\u3066\u3057\u307e\u3048\u3070\u3088\u3044\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3068 $a=-\\omega^2(x-x_0)$ \u306e\u5f62\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u3067\uff0c$$\\left\\{\\begin{array}{l}\\omega^2=\\stext{\u25a1} \\qquad\\therefore \\quad \\omega=\\sqrt{\\stext{\u25a1}}\\\\ x_0=\\stext{\u25ef}\\end{array}\\right.$$\u3068\u3057\u3066\u89d2\u632f\u52d5\u6570 $\\omega$ \u3068\u632f\u52d5\u4e2d\u5fc3 $x_0$ \u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3042\u3068\u306f\u904b\u52d5\u306e\u69d8\u5b50\u3092\u8003\u3048\u306a\u304c\u3089 $x$ \u306e\u5f0f\u3092\u6c42\u3081\u3066\u3044\u304f\uff0c\u3068\u3044\u3046\u624b\u9806\u306b\u306a\u308a\u307e\u3059\uff01<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-my-box st-mybox has-title post-hashiro-point\" style=\"background-color:#fff;border-color:#ff7f50\"><p class=\"st-mybox-title\" style=\"color:#ff7f50;font-weight:bold;text-shadow:#fff 3px 0px 0px, #fff 2.83487px .981584px 0px, #fff 2.35766px 1.85511px 0px, #fff 1.62091px 2.52441px 0px, #fff .705713px 2.91581px 0px, #fff -0.287171px 2.98622px 0px, #fff -1.24844px 2.72789px 0px, #fff -2.07227px 2.16926px 0px, #fff -2.66798px 1.37182px 0px, #fff -2.96998px .42336px 0px, #fff -2.94502px -0.571704px 0px, #fff -2.59586px -1.50383px 0px, #fff -1.96093px -2.27041px 0px, #fff -1.11013px -2.78704px 0px, #fff -0.137119px -2.99686px 0px, #fff .850987px -2.87677px 0px, #fff 1.74541px -2.43999px 0px, #fff 2.44769px -1.73459px 0px, #fff 2.88051px -0.838246px 0px;background:linear-gradient(0deg, #fff 0%, #fff 55%, rgba(0, 0, 0, 0) 55%, rgba(0, 0, 0, 0) 100%)\"><i class=\"st-fa st-svg-lightbulb-o st-css-no\" aria-hidden=\"\"><\/i>\u30dd\u30a4\u30f3\u30c8<\/p><div class=\"st-in-mybox\">\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">\u2460 $x$ \u8ef8\u3092\u8a2d\u5b9a\u3059\u308b\u3002\u53ef\u80fd\u3067\u3042\u308c\u3070\uff0c\u632f\u52d5\u4e2d\u5fc3\u3092\u539f\u70b9\u3068\u3057\u3066\u304a\u304f\u3002<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">\u2461 \u4efb\u610f\u306e\u4f4d\u7f6e $x$\u3067\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u7acb\u3066\u308b\u3002<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">\u2462 \u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\uff0c$a=-\\stext{\u25a1}(x-\\stext{\u25ef})$ \u306e\u5f62\u306b\u5909\u5f62\u3059\u308b\u3002$\\omega=\\sqrt{\\stext{\u25a1}}$\uff0c$x_0=\\stext{\u25ef}$ \u3068\u3057\u3066\u89d2\u632f\u52d5\u6570 $\\omega$ \u3068\u632f\u52d5\u4e2d\u5fc3 $x_0$ \u3092\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">\u2463 \u904b\u52d5\u306e\u69d8\u5b50\uff08\u521d\u671f\u6761\u4ef6\uff09\u304b\u3089 $x-t$ \u30b0\u30e9\u30d5\u3092\u8003\u3048\uff0c\u554f\u984c\u3092\u89e3\u304f\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u96e3\u3057\u3044\u554f\u984c\u3067\u3082\u57fa\u672c\u7684\u306b\u306f\u3053\u306e\u624b\u9806\u3067\u30d1\u30bf\u30fc\u30f3\u5316\u3067\u304d\u3066\u3057\u307e\u3044\u307e\u3059\uff01<\/p>\n\n\n\n<p>\u7279\u306b\u2462\u306e\u300c$a=-\\stext{\u25a1}(x-\\stext{\u25ef})$ \u306e\u5f62\u306b\u5909\u5f62\u3059\u308b\u300d\u3068\u3044\u3046\u90e8\u5206\u306f\uff0c\u610f\u8b58\u3057\u306a\u3044\u3068\u6b63\u3057\u304f\u5f0f\u5909\u5f62\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p><span class=\"st-mymarker-s\">\u300c\u5f0f\u5909\u5f62\u3057\u3066 $a=-\\stext{\u25a1}(x-\\stext{\u25ef})$ \u306e\u5f62\u3092\u4f5c\u308b\uff01\u300d<\/span>\u3068\u3044\u3046\u76ee\u7684\u610f\u8b58\u3092\u5f37\u304f\u6301\u3063\u3066\u89e3\u304d\u9032\u3081\u308b\u3053\u3068\u304c\u5927\u5207\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-midashi-box freebox has-title post-hashiro-reidai\" style=\"background-color:#f7f7fb;border-width:3px;border-color:#a3bded\"><p class=\"p-free\" style=\"border-color:#a3bded;font-weight:bold\"><span class=\"p-entry-f\" style=\"color:#ffffff;font-weight:bold;background-color:#a3bded\"><i class=\"st-fa st-svg-pencil st-css-no\" aria-hidden=\"\"><\/i>\u4f8b\u984c<\/span><\/p><div class=\"free-inbox\">\n<p>\u3070\u306d\u5b9a\u6570 $k$ \u306e\u3070\u306d\u306b\uff0c\u8cea\u91cf $m$ \u306e\u7269\u4f53\u304c\u63a5\u7d9a\u3055\u308c\u3066\u3044\u308b\u3002\u3070\u306d\u304c\u81ea\u7136\u9577\u3068\u306a\u308b\u4f4d\u7f6e\u3092\u539f\u70b9\u3068\u3057\uff0c\u3070\u306d\u3092\u4f38\u3070\u3059\u5411\u304d\u3092\u6b63\u306e\u5411\u304d\u3068\u3057\u3066 $x$ \u8ef8\u3092\u3068\u308b\u3002\u4ee5\u4e0b\u306e\u305d\u308c\u305e\u308c\u306e\u72b6\u6cc1\u306b\u3064\u3044\u3066\uff0c\u89d2\u632f\u52d5\u6570 $\\omega$ \u3092\u6c42\u3081\uff0c\u6642\u523b $t$ \u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u4f4d\u7f6e $x$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"139\" height=\"72\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406531.svg\" alt=\"\" class=\"wp-image-4589\"\/><noscript><img decoding=\"async\" width=\"139\" height=\"72\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406531.svg\" alt=\"\" class=\"wp-image-4589\"\/><\/noscript><\/figure>\n\n\n\n<p class=\"setumonnkakko\">\u6642\u523b $t=0$ \u306b\u3070\u306d\u3092\u81ea\u7136\u9577\u306e\u4f4d\u7f6e\u304b\u3089 $x_1$ \u3060\u3051\u4f38\u3070\u3057\uff0c\u305d\u3063\u3068\u624b\u3092\u96e2\u3057\u305f\u3002<\/p>\n\n\n\n<p class=\"setumonnkakko\">\u6642\u523b $t=0$ \u306b\u304a\u3044\u3066\uff0c\u539f\u70b9\u3067\u7269\u4f53\u306b\u901f\u5ea6 $v_1(>0)$ \u3092\u4e0e\u3048\u305f\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u2460\u301c\u2463 \u306e\u30b9\u30c6\u30c3\u30d7\u306b\u3064\u3044\u3066\uff0c\u9806\u756a\u306b\u78ba\u8a8d\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u30b9\u30c6\u30c3\u30d7\u2460\uff1a$x$ \u8ef8\u306e\u8a2d\u5b9a<\/h3>\n\n\n\n<p>\u4eca\u56de\u306f\u554f\u984c\u6587\u3067 $x$ \u8ef8\u304c\u8a2d\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3070\u306d\u304c\u81ea\u7136\u9577\u3068\u306a\u308b\u4f4d\u7f6e\uff08\u3064\u308a\u5408\u3044\u306e\u4f4d\u7f6e\uff09\u304c\u539f\u70b9\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u30b9\u30c6\u30c3\u30d7\u2461\uff1a\u904b\u52d5\u65b9\u7a0b\u5f0f<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"139\" height=\"88\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406532.svg\" alt=\"\" class=\"wp-image-4590\"\/><noscript><img decoding=\"async\" width=\"139\" height=\"88\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406532.svg\" alt=\"\" class=\"wp-image-4590\"\/><\/noscript><\/figure>\n\n\n\n<p>\u4f4d\u7f6e $x$ \u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u529b\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u7269\u4f53\u306e\u4f4d\u7f6e\u304c $x$ \u306e\u3068\u304d\uff0c\u3070\u306d\u306e\u4f38\u3073\u3082 $x$ \u3068\u306a\u308a\u307e\u3059\u306e\u3067\uff0c\u4f5c\u7528\u3059\u308b\u529b\u306f $f=-kx$ \u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3088\u3063\u3066\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\uff0c$$ma=-kx$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u30b9\u30c6\u30c3\u30d7\u2462\uff1a\u5f0f\u5909\u5f62<\/h3>\n\n\n\n<p>\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u4e21\u8fba\u3092 $m$ \u3067\u5272\u308b\u3053\u3068\u3067\uff0c$$a=-\\bun{k}{m}x$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u304c\u6700\u3082\u91cd\u8981\u306a\u90e8\u5206\u3067\u3059\u306d\u3002\u3053\u308c\u3088\u308a\uff0c$\\omega^2=\\Bun{k}{m}$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306e\u3067\uff0c$\\omega=\\sqrt{\\bun{k}{m}}$ \u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u300c$x_0-\\stext{\u25ef}$\u300d\u306e\u25ef\u306e\u90e8\u5206\u306f $0$ \u3067\u3059\u306e\u3067\uff0c\u632f\u52d5\u4e2d\u5fc3 $x_0$ \u306f\u539f\u70b9\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3082\u305d\u3082\u3064\u308a\u5408\u3044\u306e\u4f4d\u7f6e\u3092\u539f\u70b9\u306b\u53d6\u3063\u3066\u3044\u305f\u306e\u3067\u5f53\u7136\u3067\u3059\u306d\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u3053\u3053\u304b\u3089\u306f (1) \u3068 (2) \u3067\u521d\u671f\u6761\u4ef6\u304c\u7570\u306a\u3063\u3066\u3044\u307e\u3059\u306e\u3067\uff0c\u5225\u3005\u306b\u8003\u3048\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u30b9\u30c6\u30c3\u30d7\u2463\uff1a\u521d\u671f\u6761\u4ef6\u306e\u8003\u5bdf (1)<\/h3>\n\n\n\n<p>\u521d\u671f\u6761\u4ef6\u306f\uff0c$t=0$ \u3067 $x=x_1$ \u3067\u3059\u3002\u3053\u306e\u70b9\u3067\u305d\u3063\u3068\u624b\u3092\u96e2\u3057\u3066\u3044\u307e\u3059\u306e\u3067\uff0c$x=x_1$ \u304c\u7247\u65b9\u306e\u7aef\u70b9\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u632f\u52d5\u4e2d\u5fc3\u3067\u3042\u308b\u539f\u70b9\u3068\uff0c\u3053\u306e\u7aef\u70b9\u3068\u306e\u8ddd\u96e2\u304c\u632f\u5e45 $A$ \u3067\u3059\u306e\u3067\uff0c$A=x_1-0=x_1$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"243\" height=\"95\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406533.svg\" alt=\"\" class=\"wp-image-4591\"\/><noscript><img decoding=\"async\" width=\"243\" height=\"95\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406533.svg\" alt=\"\" class=\"wp-image-4591\"\/><\/noscript><\/figure>\n\n\n\n<p>\u3082\u3046\u7247\u65b9\u306e\u7aef\u70b9\u306f\uff0c\u632f\u52d5\u4e2d\u5fc3\u304b\u3089\u53cd\u5bfe\u306b\u632f\u5e45 $A$ \u306e\u5206\u3060\u3051\u9032\u3093\u3060\u5834\u6240\u306b\u306a\u308a\u307e\u3059\u306e\u3067\uff0c$0-x_1=-x_1$ \u3067\u3059\u306d\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"280\" height=\"95\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406534.svg\" alt=\"\" class=\"wp-image-4592\"\/><noscript><img decoding=\"async\" width=\"280\" height=\"95\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406534.svg\" alt=\"\" class=\"wp-image-4592\"\/><\/noscript><\/figure>\n\n\n\n<p>\u4ee5\u4e0a\u3068\uff0c\u6642\u523b $t=0$ \u306b\u4f4d\u7f6e $x_1$ \u304b\u3089\u5358\u632f\u52d5\u304c\u59cb\u307e\u3063\u305f\u3053\u3068\u3092\u5408\u308f\u305b\u308b\u3068\uff0c\u30b0\u30e9\u30d5\u306e\u6982\u5f62\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"210\" height=\"114\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406535.svg\" alt=\"\" class=\"wp-image-4593\"\/><noscript><img decoding=\"async\" width=\"210\" height=\"114\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406535.svg\" alt=\"\" class=\"wp-image-4593\"\/><\/noscript><\/figure>\n\n\n\n<p>\u3053\u306e\u30b0\u30e9\u30d5\u306f $+\\cos$ \u578b\u3067\u3059\u306e\u3067\uff0c$$x=x_1\\cos\\sqrt{\\bun{k}{m}}t$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u306a\u304a\uff0c\u554f\u984c\u3067\u306f\u554f\u308f\u308c\u3066\u3044\u307e\u305b\u3093\u304c\uff0c\u632f\u52d5\u4e2d\u5fc3\u3067\u306e\u901f\u3055\u306f\uff0c$$v\\max=A\\omega=x_1\\sqrt{\\bun{k}{m}}$$\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u30b9\u30c6\u30c3\u30d7\u2463\uff1a\u521d\u671f\u6761\u4ef6\u306e\u8003\u5bdf (2)<\/h3>\n\n\n\n<p>\u539f\u70b9\u3067\u521d\u901f\u5ea6\u3092\u4e0e\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u521d\u901f\u5ea6\u306f\uff0c\u300c\u632f\u52d5\u4e2d\u5fc3\u3067\u306e\u7269\u4f53\u306e\u901f\u3055 $v\\max=A\\omega$\u300d\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u306e\u3067\uff0c<\/p>\n\n\n\n<p>$$A\\omega=v_1\\qquad\\therefore \\quad A=v_1\\sqrt{\\bun{m}{k}}$$\u3068\u3057\u3066\u632f\u5e45 $A$ \u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u632f\u52d5\u4e2d\u5fc3\u304c\u539f\u70b9\u3067\u3042\u308b\u3053\u3068\u306f\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u306e\u3067\uff0c\u7aef\u70b9\u306f $x=\\pm A$ \u3067\u3059\u306d\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>$t=0$ \u306b\u304a\u3044\u3066\uff0c\u6b63\u306e\u901f\u5ea6\u3067 $x$ \u8ef8\u6b63\u306e\u5411\u304d\u306b\u904b\u52d5\u3092\u59cb\u3081\u308b\u3053\u3068\u3092\u8e0f\u307e\u3048\u308b\u3068\uff0c\u30b0\u30e9\u30d5\u306e\u6982\u5f62\u304c\u306e\u901a\u308a\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"236\" height=\"124\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406536.svg\" alt=\"\" class=\"wp-image-4594\"\/><noscript><img decoding=\"async\" width=\"236\" height=\"124\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406536.svg\" alt=\"\" class=\"wp-image-4594\"\/><\/noscript><\/figure>\n\n\n\n<p>\u3053\u306e\u30b0\u30e9\u30d5\u306f $+\\sin$\u578b\u3067\u3059\u306e\u3067\uff0c<\/p>\n\n\n\n<p>$$x=v_1\\sqrt{\\bun{m}{k}}\\sin\\sqrt{\\bun{k}{m}}t$$\u3068\u3057\u3066 $x$ \u304c\u5f97\u3089\u308c\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-5\">\u521d\u671f\u6761\u4ef6\u306e\u8003\u3048\u65b9<\/span><\/h2>\n\n\n\n<p>\u4e0a\u306e\u4f8b\u984c\u3067\u898b\u305f\u3088\u3046\u306b\uff0c\u521d\u671f\u6761\u4ef6\u306b\u3088\u3089\u305a \u2462 \u307e\u3067\u306f\u540c\u3058\u624b\u9806\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u3064\u3053\u3044\u3088\u3046\u3067\u3059\u304c\uff0c$a=-\\stext{\u25a1}(x-\\stext{\u25ef})$ \u306e\u5f62\u3092\u4f5c\u308a\u51fa\u3059\u306e\u304c\u6700\u5927\u306e\u30dd\u30a4\u30f3\u30c8\u3067\u3059\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u2463 \u306b\u3064\u3044\u3066\u306f\uff0c\u4e0a\u306e\u4f8b\u984c\u3067\u898b\u305f2\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u304c\u3042\u308a\u307e\u3059\u3002\u3044\u305a\u308c\u3082\u30b0\u30e9\u30d5\u306e\u6982\u5f62\u3092\u304b\u3044\u3066\uff0c4\u3064\u306e\u3069\u306e\u578b\u304b\u3092\u8003\u3048\u3066 $x$ \u306e\u5f0f\u3092\u6c42\u3081\u308b\u3068\u3044\u3046\u6d41\u308c\u306f\u5171\u901a\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"is-style-st-heading-custom-count post-hashiro-countA wp-block-heading\">\u632f\u52d5\u4e2d\u5fc3\u304b\u3089\u96e2\u308c\u305f\u70b9\u3067\u305d\u3063\u3068\u624b\u3092\u96e2\u3059\u5834\u5408<\/h3>\n\n\n\n<p>\u624b\u3092\u96e2\u3057\u305f\u70b9\u304c\u7aef\u70b9\u3068\u306a\u308a\u307e\u3059\u3002\u632f\u52d5\u4e2d\u5fc3\u3068\u306e\u5dee\u304b\u3089\u632f\u5e45 $A$ \u3092\u6c42\u3081\u307e\u3059\u3002\u632f\u52d5\u4e2d\u5fc3\u3067\u306e\u901f\u3055 $v\\max$ \u306f\uff0c$v\\max=A\\omega$ \u306e\u5f0f\u304b\u3089\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30b0\u30e9\u30d5\u306e\u5f62\u306f $+\\cos$\u578b\u304b $-\\cos$\u578b\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"is-style-st-heading-custom-count post-hashiro-countA wp-block-heading\">\u632f\u52d5\u4e2d\u5fc3\u3067\u521d\u901f\u5ea6\u3092\u4e0e\u3048\u308b\u5834\u5408<\/h3>\n\n\n\n<p>\u4e0e\u3048\u305f\u521d\u901f\u5ea6\u306e\u5927\u304d\u3055\u304c\u632f\u52d5\u4e2d\u5fc3\u3067\u306e\u901f\u3055 $v\\max$ \u306b\u306a\u308a\u307e\u3059\u3002$v\\max=A\\omega$ \u306e\u5f0f\u304b\u3089\u632f\u5e45 $A$ \u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>$x$ \u8ef8\u6b63\u306e\u5411\u304d\u306b\u521d\u901f\u5ea6\u3092\u4e0e\u3048\u305f\u5834\u5408\u306f $+\\sin$\u578b\u306e\u30b0\u30e9\u30d5\u306b\uff0c\u8ca0\u306e\u5411\u304d\u306b\u521d\u901f\u5ea6\u3092\u4e0e\u3048\u305f\u5834\u5408\u306f $-\\sin$\u578b\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u4ee5\u4e0a\u304c\u5358\u632f\u52d5\u306e\u57fa\u672c\u306e\u5168\u3066\u3067\u3059\uff01<\/p>\n\n\n\n<p>\u78ba\u8a8d\u4e8b\u9805\u306f\u591a\u3044\u3067\u3059\u304c\uff0c\u3068\u306b\u304b\u304f\u89e3\u6790\u624b\u9806\u306e4\u3064\u306eStep\u306b\u6cbf\u3063\u3066\u8003\u3048\u3066\u3044\u3051\u3070\u307b\u307c\u5168\u3066\u306e\u554f\u984c\u304c\u89e3\u3051\u307e\u3059\uff01<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u69d8\u3005\u306a\u554f\u984c\u306e\u6f14\u7fd2\u3092\u901a\u3058\u3066\uff0c\u300c\u78ba\u304b\u306b\u3069\u308c\u3082\u89e3\u304d\u65b9\u540c\u3058\u3060\uff01\u300d\u3068\u3044\u3046\u5b9f\u611f\u3092\u5f97\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-st-blocks-midashi-box freebox has-title post-hashiro-reidai\" style=\"background-color:#f7f7fb;border-width:3px;border-color:#a3bded\"><p class=\"p-free\" style=\"border-color:#a3bded;font-weight:bold\"><span class=\"p-entry-f\" style=\"color:#ffffff;font-weight:bold;background-color:#a3bded\"><i class=\"st-fa st-svg-pencil st-css-no\" aria-hidden=\"\"><\/i>\u4f8b\u984c<\/span><\/p><div class=\"free-inbox\">\n<p>\u5929\u4e95\u304b\u3089\u3076\u3089\u4e0b\u3052\u3089\u308c\u305f\uff0c\u3070\u306d\u5b9a\u6570\u304c $k$ \u306e\u3070\u306d\u306b\u8cea\u91cf\u304c $m$ \u306e\u7269\u4f53\u3092\u53d6\u308a\u4ed8\u3051\u308b\u3002\u306f\u3058\u3081\uff0c\u7269\u4f53\u306f\u3064\u308a\u5408\u3044\u306e\u4f4d\u7f6e\u3067\u9759\u6b62\u3057\u3066\u3044\u305f\u3002\u305d\u3053\u304b\u3089\u3055\u3089\u306b\u3070\u306d\u3092\u925b\u76f4\u4e0b\u5411\u304d\u306b $x_1$ \u3060\u3051\u5f15\u3063\u5f35\u308a\uff0c\u6642\u523b $t=0$ \u306b\u305d\u3063\u3068\u624b\u3092\u96e2\u3059\u3068\uff0c\u7269\u4f53\u306f\u5358\u632f\u52d5\u3092\u306f\u3058\u3081\u305f\u3002\u3070\u306d\u304c\u81ea\u7136\u9577\u3068\u306a\u308b\u4f4d\u7f6e\u3092\u539f\u70b9\u3068\u3057\uff0c\u925b\u76f4\u4e0b\u5411\u304d\u306b $x$ \u8ef8\u3092\u3068\u308b\u3082\u306e\u3068\u3059\u308b\u3002\u91cd\u529b\u52a0\u901f\u5ea6\u306e\u5927\u304d\u3055\u3092 $g$ \u3068\u3057\u3066\uff0c\u4ee5\u4e0b\u306e\u8a2d\u554f\u306b\u7b54\u3048\u3088\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"78\" height=\"131\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406537.svg\" alt=\"\" class=\"wp-image-4595\"\/><noscript><img decoding=\"async\" width=\"78\" height=\"131\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406537.svg\" alt=\"\" class=\"wp-image-4595\"\/><\/noscript><\/figure>\n\n\n\n<p class=\"setumonnkakko\">\u5358\u632f\u52d5\u306e\u5468\u671f $T$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n<p class=\"setumonnkakko\">\u6642\u523b $t$ \u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u4f4d\u7f6e $x$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n<p class=\"setumonnkakko\">\u7269\u4f53\u306e\u901f\u5ea6\u304c\u306f\u3058\u3081\u3066\u6700\u5927\u3068\u306a\u308b\u6642\u523b\u304a\u3088\u3073\uff0c\u305d\u306e\u3068\u304d\u306e\u901f\u5ea6\u3092\u6c42\u3081\u3088\u3002<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group post-hashiro-reidaikaitou\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group gsetumonnkakko\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\u4f4d\u7f6e $x$ \u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u529b\u306e\u4f5c\u7528\u56f3\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"86\" height=\"143\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406538.svg\" alt=\"\" class=\"wp-image-4596\"\/><noscript><img decoding=\"async\" width=\"86\" height=\"143\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406538.svg\" alt=\"\" class=\"wp-image-4596\"\/><\/noscript><\/figure>\n\n\n\n<p>\u904b\u52d5\u65b9\u7a0b\u5f0f\u3088\u308a\uff0c<\/p>\n\n\n\n<p>$$ma=mg-kx$$\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3092\u6574\u7406\u3059\u308b\u3068\uff0c$$a=-\\bun{k}{m}\\left(x-\\bun{mg}{k}\\right)$$\u304c\u5f97\u3089\u308c\u308b\u305f\u3081\uff0c\u7269\u4f53\u306f\u89d2\u632f\u52d5\u6570\u304c $\\omega=\\sqrt{\\bun{k}{m}}$\uff0c\u632f\u52d5\u4e2d\u5fc3\u304c $x_0=\\Bun{mg}{k}$ \u3067\u3042\u308b\u3088\u3046\u306a\u5358\u632f\u52d5\u3092\u884c\u3046\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u3088\u3063\u3066\uff0c\u6c42\u3081\u308b\u5468\u671f $T$ \u306f\uff0c<\/p>\n\n\n\n<p>$$T=\\bun{2\\pi}{\\omega}=2\\pi\\sqrt{\\bun{m}{k}}$$<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group gsetumonnkakko\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\u624b\u3092\u96e2\u3057\u305f\u70b9\u304c\u5358\u632f\u52d5\u306e\u7aef\u70b9\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u632f\u52d5\u4e2d\u5fc3 $x_0=\\Bun{mg}{k}$ \u306f\u3064\u308a\u5408\u3044\u306e\u4f4d\u7f6e\u3067\u3082\u3042\u308b\u305f\u3081\uff0c\u632f\u52d5\u4e2d\u5fc3\u3068\u7aef\u70b9\u306e\u8ddd\u96e2\u306f $x_1$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"192\" height=\"98\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406541.svg\" alt=\"\" class=\"wp-image-4599\"\/><noscript><img decoding=\"async\" width=\"192\" height=\"98\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406541.svg\" alt=\"\" class=\"wp-image-4599\"\/><\/noscript><\/figure>\n\n\n\n<p>\u3059\u306a\u308f\u3061\uff0c$A=x_1$ \u304c\u6210\u7acb\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u307e\u305f\uff0c\u3082\u3046\u7247\u65b9\u306e\u7aef\u70b9\u306f\uff0c$x=x_0-A$ \u3067\u3042\u308b\u70b9\u3092\u8e0f\u307e\u3048\u308b\u3068\uff0c$x-t$ \u30b0\u30e9\u30d5\u306f\u6b21\u306e\u901a\u308a\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"222\" height=\"114\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406539.svg\" alt=\"\" class=\"wp-image-4597\"\/><noscript><img decoding=\"async\" width=\"222\" height=\"114\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406539.svg\" alt=\"\" class=\"wp-image-4597\"\/><\/noscript><\/figure>\n\n\n\n<p>\u3053\u306e\u30b0\u30e9\u30d5\u306f $+\\cos$\u578b\u306a\u306e\u3067\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned} x&amp;=x_0+A\\sin\\omega t\\\\ &amp;=\\bun{mg}{k}+x_1\\sin\\sqrt{\\bun{k}{m}}t \\end{aligned}$$<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group gsetumonnkakko\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\u7269\u4f53\u306e\u901f\u5ea6\u304c\u6700\u5927\u3068\u306a\u308b\u306e\u306f\uff0c\u632f\u52d5\u4e2d\u5fc3\u3092 $x$ \u8ef8\u6b63\u306e\u5411\u304d\u306b\u5411\u304b\u3063\u3066\u7269\u4f53\u304c\u901a\u904e\u3059\u308b\u3068\u304d\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"222\" height=\"141\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406540.svg\" alt=\"\" class=\"wp-image-4598\"\/><noscript><img decoding=\"async\" width=\"222\" height=\"141\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u7269\u7406540.svg\" alt=\"\" class=\"wp-image-4598\"\/><\/noscript><\/figure>\n\n\n\n<p>\u3088\u3063\u3066 $x-t$ \u30b0\u30e9\u30d5\u3088\u308a\uff0c\u6c42\u3081\u308b\u6642\u523b\u306f\uff0c<\/p>\n\n\n\n<p>$$\\bun34T=\\bun{3\\pi}{2}\\sqrt{\\bun{m}{k}}$$\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u306e\u901f\u5ea6\u306f $v\\max=A\\omega$ \u306b\u7b49\u3057\u304f\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned} v\\max&amp;=A\\omega\\ &amp;=x_1\\sqrt{\\bun{k}{m}} \\end{aligned}$$<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-6\">\u539f\u70b9\u306e\u53d6\u308a\u65b9\u306b\u3064\u3044\u3066<\/span><\/h2>\n\n\n\n<p>\u3070\u306d\u304c\u81ea\u7136\u9577\u3068\u306a\u308b\u4f4d\u7f6e\u3092\u539f\u70b9\u3068\u3057\u3066\u3057\u307e\u3063\u305f\u306e\u3067\u3084\u3084\u8907\u96d1\u306b\u306a\u308a\u307e\u3057\u305f\u304c\uff0c\u3064\u308a\u5408\u3044\u306e\u4f4d\u7f6e\u3092\u539f\u70b9\u306b\u3068\u308b\u3068\u3088\u308a\u7c21\u6f54\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u539f\u70b9\u3067\u306f\u3070\u306d\u304c $\\Bun{mg}{k}$ \u3060\u3051\u4f38\u3073\u3066\u3044\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u4f4d\u7f6e $x$ \u3067\u306f\u3070\u306d\u304c $\\bun{mg}{k}+x$ \u3060\u3051\u4f38\u3073\u307e\u3059\u306e\u3067\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\uff0c<\/p>\n\n\n\n<p>$$ma=mg-k\\left(\\bun{mg}{k}+x\\right)=-kx$$\u3068\u30b7\u30f3\u30d7\u30eb\u306b\u306a\u308a\u307e\u3059\u3002\u6574\u7406\u3059\u308b\u3068\uff0c$a=-\\Bun{k}{m}x$ \u3067\u3059\u306e\u3067\uff0c$\\omega=\\sqrt{\\bun{k}{m}}$ \u304c\u5f97\u3089\u308c\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<p>\u632f\u5e45\u304c $A=x_1$ \u3067\u3042\u308b\u3053\u3068\u3068\uff0c\u30b0\u30e9\u30d5\u304c $+\\cos$\u578b\u306b\u306a\u308b\u3053\u3068\u306f\u5909\u308f\u3089\u306a\u3044\u306e\u3067\uff0c$x=x_1\\sin\\sqrt{\\bun{k}{m}}t$ \u3068\u3057\u3066 $x$ \u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\uff0c\u3042\u3089\u304b\u3058\u3081\u3064\u308a\u5408\u3044\u306e\u70b9\uff08\u632f\u52d5\u4e2d\u5fc3\uff09\u3092\u539f\u70b9\u306b\u3068\u308b\u3053\u3068\u304c\u3067\u304d\u308c\u3070\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092 $a=-\\stext{\u25a1}x$ \u306e\u5f62\u306b\u5909\u5f62\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff08$a=-\\stext{\u25a1}(x-\\stext{\u25ef})$ \u306e\u5f62\u3092\u4f5c\u308b\u3068\u5fc5\u305a $\\stext{\u25ef}=0$ \u3068\u306a\u308b\u305f\u3081\uff09\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u632f\u52d5\u4e2d\u5fc3\u304c\u5bb9\u6613\u306b\u308f\u304b\u308b\u5834\u5408\u306b\u306f\uff0c\u305d\u306e\u5834\u6240\u3092\u539f\u70b9\u306b\u8a2d\u5b9a\u3059\u308b\u3053\u3068\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u6b211 \u5358\u632f\u52d5\u3068\u529b2 \u5fa9\u5143\u529b3 \u5358\u632f\u52d5\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f4 \u89e3\u6790\u624b\u98065 \u521d\u671f\u6761\u4ef6\u306e\u8003\u3048\u65b96 \u539f\u70b9\u306e\u53d6\u308a\u65b9\u306b\u3064\u3044\u3066 \u5358\u632f\u52d5\u3068\u529b \u3053\u3053\u307e\u3067\u306e\u8a71\u3067\uff0c\u5358\u632f\u52d5\u304c\u3069\u3093\u306a\u904b\u52d5\u304b\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002 \u7269\u4f53\u306b\u3069\u3093\u306a\u529b\u304c\u50cd\u304f\u3068\uff0c\u305d &#8230; <\/p>\n","protected":false},"author":1,"featured_media":4662,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,39],"tags":[],"class_list":["post-4669","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics","category-39"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/4669"}],"collection":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4669"}],"version-history":[{"count":23,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/4669\/revisions"}],"predecessor-version":[{"id":4692,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/4669\/revisions\/4692"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/media\/4662"}],"wp:attachment":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4669"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4669"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4669"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}