{"id":6007,"date":"2025-03-05T17:51:15","date_gmt":"2025-03-05T08:51:15","guid":{"rendered":"https:\/\/torisetudy.com\/?p=6007"},"modified":"2025-03-05T17:51:19","modified_gmt":"2025-03-05T08:51:19","slug":"%e6%ad%a3%e5%bc%a6%e9%80%b2%e8%a1%8c%e6%b3%a2%e3%81%ae%e4%b8%80%e8%88%ac%e8%a1%a8%e7%8f%be","status":"publish","type":"post","link":"https:\/\/torisetudy.com\/?p=6007","title":{"rendered":"\u6b63\u5f26\u9032\u884c\u6ce2\u306e\u4e00\u822c\u8868\u73fe"},"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> \u6b63\u5f26\u9032\u884c\u6ce2\u306e\u4e00\u822c\u8868\u8a18<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u6570\u5f0f\u306e\u4f7f\u3044\u65b9<\/a><\/li><\/ul><\/div>\n<h2 class=\"wp-block-heading\"><span id=\"i\">\u6b63\u5f26\u9032\u884c\u6ce2\u306e\u4e00\u822c\u8868\u8a18<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u5f0f\u306e\u9055\u3044<\/h3>\n\n\n\n<p>\u304a\u6c17\u3065\u304d\u306e\u4eba\u3082\u3044\u308b\u304b\u3082\u77e5\u308c\u307e\u305b\u3093\u304c\uff0c$y(x,\\,t)=y(x-vt,\\,0)$ \u3068\u3057\u3066\u8003\u3048\u305f\u5834\u5408\u3068 $y(x,\\,t)=y\\left(0,\\,t-\\bun{x}{v}\\right)$ \u3068\u3057\u3066\u8003\u3048\u305f\u5834\u5408\u3067\uff0c\u6570\u5f0f\u304c\u5c11\u3057\u7570\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u524d\u8005\u306e\u65b9\u6cd5\u3067\u306f\uff0c<\/p>\n\n\n\n<p>$$y(x,\\,t)=A\\sin\\left\\{2\\pi\\left(\\bun{x}{\\lambda}-\\bun{t}{T}\\right)+\\varphi\\right\\}\\stext{\\quad\u2026\u2026\\ \u2460}$$\u3067\u3042\u308a\uff0c\u5f8c\u8005\u306e\u65b9\u6cd5\u3067\u306f\uff0c<\/p>\n\n\n\n<p>$$y(x,\\,t)=A\\sin\\left\\{2\\pi\\left(\\bun{t}{T}-\\bun{x}{\\lambda}\\right)+\\varphi\\right\\}\\stext{\\quad\u2026\u2026\\ \u2461}$$\u3067\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>\u898b\u305f\u76ee\u306f\u305f\u3057\u304b\u306b\u7570\u306a\u308b\u306e\u3067\u3059\u304c\uff0c\u5b9f\u306f\u8868\u3057\u3066\u3044\u308b\u5185\u5bb9\u306f\u540c\u3058\u306a\u306e\u3067\u3059\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u5f0f\u5909\u5f62<\/h3>\n\n\n\n<p>\u3053\u306e\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\uff0c\u2460\u5f0f\u306e\u53f3\u8fba\u3092\u5c11\u3057\u5909\u5f62\u3057\u3066\u307f\u307e\u3059\u3002$\\varphi$ \u306f\u5b9a\u6570\u3067\u3059\u306e\u3067\uff0c\u3069\u3093\u306a\u5024\u3067\u3082 ok \u3067\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3053\u3067\uff0c$\\varphi\\to\\pi-\\varphi$ \u3068\u304a\u304d\u63db\u3048\u3066\u307f\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned}A\\sin\\left\\{2\\pi\\left(\\bun{x}{\\lambda}-\\bun{t}{T}\\right)+\\pi-\\varphi\\right\\}&amp;=A\\sin\\left[\\left\\{2\\pi\\left(\\bun{x}{\\lambda}-\\bun{t}{T}\\right)-\\varphi\\right\\}+\\pi\\right]\\\\&amp;=A\\sin\\left[-\\left\\{2\\pi\\left(\\bun{x}{\\lambda}-\\bun{t}{T}\\right)-\\varphi\\right\\}\\right]\\\\&amp;=A\\sin\\left\\{2\\pi\\left(\\bun{t}{T}-\\bun{x}{\\lambda}\\right)+\\varphi\\right\\}\\end{aligned}$$\u3068\u5909\u5f62\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f \u2461\u5f0f\u306e\u53f3\u8fba\u3068\u5168\u304f\u540c\u3058\u3067\u3059\u306d\uff01<\/p>\n\n\n\n<p>\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u8868\u3057\u3066\u3044\u308b\u3082\u306e\u306f\u3069\u3061\u3089\u3082\u540c\u3058\u3067\u3059\u306e\u3067\uff0c\u3069\u3061\u3089\u306e\u8868\u8a18\u3092\u7528\u3044\u3066\u3082 ok \u3067\u3059\u3002\u3044\u305a\u308c\u306e\u5834\u5408\u3067\u3082\uff0c\u6ce2\u306e\u9032\u884c\u65b9\u5411\u304c $x$ \u8ef8\u8ca0\u306e\u5411\u304d\u306b\u306a\u308b\u969b\u306b\u306f $-$ \u306e\u7b26\u53f7\u304c $+$ \u306b\u5909\u308f\u308a\u307e\u3059\u3002<\/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>\u6b63\u5f26\u9032\u884c\u6ce2\u306e\u4e00\u822c\u8868\u8a18<\/p><div class=\"st-in-mybox\">\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$x$ \u8ef8\u4e0a\u3092\u9032\u3080\u6ce2\u9577 $\\lambda$\uff0c\u5468\u671f $T$ \u306e\u6b63\u5f26\u9032\u884c\u6ce2\u306b\u3064\u3044\u3066\uff0c\u4efb\u610f\u306e\u6642\u523b $t$ \u306b\u304a\u3051\u308b\u4f4d\u7f6e $x$ \u306e\u5a92\u8cea\u306e\u5909\u4f4d $y(x,\\,t)$ \u306f\uff0c<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$$y(x,\\,t)=A\\sin\\left\\{2\\pi\\left(\\bun{t}{T}\\pm\\bun{x}{\\lambda}\\right)+\\varphi\\right\\}$$\u3068\u304b\u3051\u308b\u3002\u6ce2\u306e\u9032\u884c\u65b9\u5411\u304c $x$ \u8ef8\u6b63\u306e\u5411\u304d\u306e\u3068\u304d\uff0c$\\pm$ \u306e\u90e8\u5206\u306e\u7b26\u53f7\u306f $-$ \u3068\u3057\u3066\uff0c$x$ \u8ef8\u8ca0\u306e\u5411\u304d\u306e\u3068\u304d\u306f $+$ \u3068\u3057\u3066\u8003\u3048\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-2\">\u6570\u5f0f\u306e\u4f7f\u3044\u65b9<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u516c\u5f0f\u3068\u3057\u3066\u306e\u6697\u8a18\u306fNG\uff01<\/h3>\n\n\n\n<p>\u3053\u306e\u5f62\u3067\u4efb\u610f\u306e\u6b63\u5f26\u9032\u884c\u6ce2\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u304c\uff0c\u3053\u306e\u5f0f\u3092\u899a\u3048\u3066\u5024\u3092\u4ee3\u5165\u3059\u308b\uff0c\u3068\u3044\u3046\u89e3\u304d\u65b9\u306f\u63a8\u5968\u3055\u308c\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>$y(x,\\,t)=y(x-vt,\\,0)=y\\left(0,\\,t-\\bun{x}{v}\\right)$ \u3092\u5229\u7528\u3057\u306a\u304c\u3089\u89e3\u304d\u9032\u3081\u308b\u3068\u3044\u3046\u65b9\u6cd5\u3067\u554f\u984c\u3092\u89e3\u3044\u3066\u3044\u304d\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>\u4f8b\u984c\u3067\u78ba\u8a8d\u3057\u3066\u307f\u307e\u3057\u3087\u3046\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<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>\u6642\u523b $t=0\\s$ \u306b\u539f\u70b9\u3092\u901a\u904e\u3057\uff0c\u901f\u3055 $0.250\\ms$ \u3067 $x$ \u8ef8\u4e0a\u3092\u6b63\u306e\u5411\u304d\u306b\u9032\u3080\u6b63\u5f26\u9032\u884c\u6ce2\u304c\u3042\u308b\u3002$x=0\\m$ \u306b\u304a\u3051\u308b\u5a92\u8cea\u306e\u5909\u4f4d $y\\m$ \u3068\u6642\u523b $t\\s$ \u306e\u95a2\u4fc2\u3092\u8868\u3059 $y-t$ \u30b0\u30e9\u30d5\u3092\u56f3\u306b\u793a\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"209\" height=\"104\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406370.svg\" alt=\"\" class=\"wp-image-6008\"\/><noscript><img decoding=\"async\" width=\"209\" height=\"104\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406370.svg\" alt=\"\" class=\"wp-image-6008\"\/><\/noscript><\/figure>\n\n\n\n<p class=\"setumonnkakko\">\u3053\u306e\u6ce2\u306e\u5468\u671f $T\\s$\uff0c\u6ce2\u9577 $\\lambda\\m$ \u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n<p class=\"setumonnkakko\">$t=24\\s$ \u306b\u304a\u3051\u308b\uff0c$x=2.0\\m$ \u306e\u5a92\u8cea\u306e\u5909\u4f4d $y\\m$ \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-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group gsetumonnkakko\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u4e0e\u3048\u3089\u308c\u305f $y-t$ \u30b0\u30e9\u30d5\u3088\u308a\uff0c$T=16\\s$ \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u6ce2\u52d5\u306e\u57fa\u672c\u516c\u5f0f\u3088\u308a\uff0c<\/p>\n\n\n\n<p>$$0.250=f\\lambda=\\bun{\\lambda}{16}$$\u304c\u6210\u308a\u7acb\u3064\u306e\u3067\uff0c\u3053\u308c\u3092\u6574\u7406\u3057\u3066\uff0c$\\lambda=4.0\\m$ \u3092\u5f97\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group gsetumonnkakko\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u4e0e\u3048\u3089\u308c\u305f $y-t$ \u30b0\u30e9\u30d5\u306f $-\\sin$ \u578b\u306a\u306e\u3067\uff0c<\/p>\n\n\n\n<p>$$y(0,\\,t)=-3.0\\sin2\\pi\\bun{t}{16}$$\u304c\u6210\u7acb\u3059\u308b\u3002\u6642\u523b $t$ \u306b\u304a\u3051\u308b\u4f4d\u7f6e $x$ \u306e\u5a92\u8cea\u306e\u5909\u4f4d $y(x,\\,t)$ \u306f\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned}y(x,\\,t)&amp;=y\\left(0,\\,t-\\bun{x}{v}\\right)\\\\&amp;=-3.0\\sin2\\pi\\bun{t-\\bun{x}{v}}{16}\\\\&amp;=-3.0\\sin2\\pi\\left(\\bun{t}{16}-\\bun{x}{4.0}\\right)\\end{aligned}$$\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u3053\u308c\u306b $t=24\\s$ \u304a\u3088\u3073 $x=2.0\\m$ \u3092\u4ee3\u5165\u3057\u3066\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned}y&amp;=-3.0\\sin2\\pi\\left(\\bun{24}{16}-\\bun{2.0}{4.0}\\right)\\\\&amp;=-3.0\\sin2\\pi\\\\&amp;=0\\m\\end{aligned}$$<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u5b9f\u969b\u306e\u6d41\u308c<\/h3>\n\n\n\n<p>\u7e70\u308a\u8fd4\u3057\u306b\u306a\u308a\u307e\u3059\u304c\uff0c\u300c\u307e\u305a\u306f\u4e0e\u3048\u3089\u308c\u305f\u30b0\u30e9\u30d5\u3092\u5143\u306b $y(x,\\,0)$ \u3082\u3057\u304f\u306f $y(0,\\,t)$ \u3092\u6c42\u3081\u3066\uff0c<\/p>\n\n\n\n<p>$$y(x,\\,t)=y(x-vt,\\,0)=y\\left(0,\\,t-\\bun{x}{v}\\right)$$\u3092\u5229\u7528\u3057\u3066 $y(x,\\,t)$ \u3092\u6c42\u3081\u308b\u300d\u3068\u3044\u3046\u6d41\u308c\u3067\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u975e\u5e38\u306b\u591a\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3053\u3068\u304b\u3089\u3082\uff0c\u4e00\u822c\u5f62\u306e\u4e38\u6697\u8a18\u3067\u306f\u306a\u304f\uff0c<\/p>\n\n\n\n<p>$$y(x,\\,t)=y(x-vt,\\,0)=y\\left(0,\\,t-\\bun{x}{v}\\right)$$\u3092\u4f7f\u3044\u3053\u306a\u305b\u308b\u3053\u3068\u304c\u3088\u308a\u91cd\u8981\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3088\u306d\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>\u306a\u305c\u3053\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3064\u306e\u304b\u3068\u3044\u3046\u5c0e\u51fa\u90e8\u5206\u3082\u542b\u3081\u3066\uff0c\u3057\u3063\u304b\u308a\u3068\u4e01\u5be7\u306b\u8eab\u306b\u4ed8\u3051\u307e\u3057\u3087\u3046\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u6b211 \u6b63\u5f26\u9032\u884c\u6ce2\u306e\u4e00\u822c\u8868\u8a182 \u6570\u5f0f\u306e\u4f7f\u3044\u65b9 \u6b63\u5f26\u9032\u884c\u6ce2\u306e\u4e00\u822c\u8868\u8a18 \u6570\u5f0f\u306e\u9055\u3044 \u304a\u6c17\u3065\u304d\u306e\u4eba\u3082\u3044\u308b\u304b\u3082\u77e5\u308c\u307e\u305b\u3093\u304c\uff0c$y(x,\\,t)=y(x-vt,\\,0)$ \u3068\u3057\u3066\u8003\u3048\u305f\u5834\u5408\u3068 $y(x,\\,t) &#8230; 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