{"id":6028,"date":"2025-03-05T18:51:42","date_gmt":"2025-03-05T09:51:42","guid":{"rendered":"https:\/\/torisetudy.com\/?p=6028"},"modified":"2025-03-05T18:51:46","modified_gmt":"2025-03-05T09:51:46","slug":"%e5%ae%9a%e5%9c%a8%e6%b3%a2%e3%81%ae%e6%95%b0%e5%bc%8f%e8%a1%a8%e7%8f%be","status":"publish","type":"post","link":"https:\/\/torisetudy.com\/?p=6028","title":{"rendered":"\u5b9a\u5728\u6ce2\u306e\u6570\u5f0f\u8868\u73fe"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u5b9a\u5728\u6ce2\u3092\u8868\u3059\u6570\u5f0f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u5b9a\u5728\u6ce2\u3092\u6570\u5f0f\u3067<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b63\u5f26\u9032\u884c\u6ce2\u3092\u6570\u5f0f\u3067\u8868\u73fe\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u7686\u3055\u3093\u306a\u3089\uff0c\u5b9a\u5728\u6ce2\u3082\u6570\u5f0f\u3067\u8868\u305b\u308b\u306f\u305a\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 class=\"wp-block-paragraph\">\u300c\u3053\u3093\u306a\u8907\u96d1\u306a\u52d5\u304d\u3092\u3059\u308b\u6ce2\uff0c\u6570\u5f0f\u3067\u8868\u3059\u306e\u5927\u5909\u305d\u3046\u2026\u3002\u300d\u3068\u601d\u3046\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\uff0c\u305d\u3093\u306a\u3053\u3068\u306f\u306a\u3044\u306e\u3067\u3054\u5b89\u5fc3\u304f\u3060\u3055\u3044\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u307e\u305a\uff0c\u6b63\u5f26\u9032\u884c\u6ce2\u306e\u6570\u5f0f\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002\u632f\u5e45 $A$\uff0c\u6ce2\u9577 $\\lambda$\uff0c\u5468\u671f $T$ \u3067 $x$ \u8ef8\u6b63\u306e\u5411\u304d\u306b\u9032\u3080\u6b63\u5f26\u9032\u884c\u6ce2\u306f\uff0c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$y(x,\\,t)=A\\sin\\left\\{2\\pi\\left(\\bun{t}{T}-\\bun{x}{\\lambda}\\right)+\\varphi\\right\\}$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u306e\u5f0f\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u306d\u3002\u3053\u3053\u3067\u306f\u8a71\u3092\u7c21\u5358\u306b\u3059\u308b\u305f\u3081\u306b\uff0c\u4f4d\u76f8\u306e\u4e2d\u306e\u5b9a\u6570 $\\varphi$ \u3092 $0$ \u3068\u3057\u3066\uff0c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$y_1(x,\\,t)=A\\sin\\left\\{2\\pi\\left(\\bun{t}{T}-\\bun{x}{\\lambda}\\right)\\right\\}$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3067\u3042\u308b\u3082\u306e\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u632f\u5e45\uff0c\u6ce2\u9577\uff0c\u5468\u671f\u304c\u5168\u304f\u540c\u3058\u3067\uff0c$x$ \u8ef8\u3092\u8ca0\u306e\u5411\u304d\u306b\u9032\u3080\u6b63\u5f26\u9032\u884c\u6ce2\u306f\uff0c\u4f4d\u76f8\u306e\u90e8\u5206\u306e\u7b26\u53f7\u3092 $-$ \u304b\u3089 $+$ \u3078\u5909\u3048\u308b\u3053\u3068\u3067\uff0c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$y_2(x,\\,t)=A\\sin\\left\\{2\\pi\\left(\\bun{t}{T}+\\bun{x}{\\lambda}\\right)\\right\\}$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3068\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u8db3\u3057\u7b97<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u308c\u3089\u306e 2 \u3064\u306e\u6ce2\u3092\u91cd\u306d\u5408\u308f\u305b\u308b\u3068\u5b9a\u5728\u6ce2\u304c\u3067\u304d\u308b\u308f\u3051\u3067\u3059\u304b\u3089\uff0c\u6ce2\u306e\u5909\u4f4d\u3092\u8868\u3059\u5f0f\u540c\u58eb\u3082\u91cd\u306d\u5408\u308f\u305b\u308c\u3070\u5b9a\u5728\u6ce2\u306e\u5f0f\u304c\u51fa\u6765\u4e0a\u304c\u308b\u306f\u305a\u3067\u3059\uff01<\/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 class=\"wp-block-paragraph\">\u52a0\u6cd5\u5b9a\u7406\u3092\u7528\u3044\u3066\u8a08\u7b97\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<p class=\"wp-block-paragraph\">$$\\begin{aligned}y&amp;=y_1+y_2\\\\&amp;=A\\sin\\left\\{2\\pi\\left(\\bun{t}{T}-\\bun{x}{\\lambda}\\right)\\right\\}+A\\sin\\left\\{2\\pi\\left(\\bun{t}{T}+\\bun{x}{\\lambda}\\right)\\right\\}\\\\&amp;=\\left(A\\sin2\\pi\\bun{t}{T}\\cos2\\pi\\bun{x}{\\lambda}-A\\cos2\\pi\\bun{t}{T}\\sin2\\pi\\bun{x}{\\lambda}\\right)\\\\&amp;\\quad+\\left(A\\sin2\\pi\\bun{t}{T}\\cos2\\pi\\bun{x}{\\lambda}+A\\cos2\\pi\\bun{t}{T}\\sin2\\pi\\bun{x}{\\lambda}\\right)\\\\&amp;=2A\\sin2\\pi\\Bun{t}{T}\\cos2\\pi\\bun{x}{\\lambda}\\end{aligned}$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3068\u306a\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u308c\u304c\u5b9a\u5728\u6ce2\u3092\u8868\u3059\u5f0f\u3067\u3059\uff01\u30d0\u30f3\u30b6\u30a4\uff01\u2026\u3068\u3044\u308f\u308c\u3066\u3082\uff0c\u3061\u3087\u3063\u3068\u30a4\u30e1\u30fc\u30b8\u304c\u3064\u304b\u306a\u3044\u3067\u3059\u3088\u306d\u3002\u3053\u306e\u5f0f\u304c\u672c\u5f53\u306b\u5b9a\u5728\u6ce2\u3092\u8868\u3057\u3066\u3044\u308b\u306e\u304b\u78ba\u8a8d\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5b9a\u5728\u6ce2\u306e\u6570\u5f0f\u306e\u89e3\u91c8<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u5f0f\u5909\u5f62<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u307e\u305a\uff0c\u5f0f\u3092\u4ee5\u4e0b\u306e\u901a\u308a\u306b\u5909\u5f62\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$y=2A\\cos2\\pi\\bun{x}{\\lambda}\\,\\times\\,\\sin2\\pi\\bun{t}{T}$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$A,\\,\\lambda,\\,T$ \u304c\u5b9a\u6570\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3068\uff0c\u524d\u534a\u306e $2A\\cos2\\pi\\bun{x}{\\lambda}$ \u306e\u90e8\u5206\u306f $x$ \u306e\u307f\u306e\u95a2\u6570\u306b\uff0c\u5f8c\u534a\u306e $\\sin2\\pi\\bun{t}{T}$ \u306e\u90e8\u5206\u306f $t$ \u306e\u307f\u306e\u95a2\u6570\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f0f\u5909\u5f62\u306b\u3088\u3063\u3066\uff0c\u300c(1) $x$ \u3060\u3051\u304c\u5909\u6570\u3068\u306a\u3063\u3066\u3044\u308b\u90e8\u5206\u300d\u3068\u300c(2) $t$ \u3060\u3051\u304c\u5909\u6570\u3068\u306a\u3063\u3066\u3044\u308b\u90e8\u5206\u300d\u306b\u5206\u96e2\u3057\u305f\u308f\u3051\u3067\u3059\u306d\u3002\u305d\u308c\u305e\u308c\u306e\u5f0f\u306e\u610f\u5473\u3092\u78ba\u8a8d\u3057\u306a\u304c\u3089\uff0c\u5b9a\u5728\u6ce2\u306e $y-x$ \u30b0\u30e9\u30d5\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(1) $2A\\cos2\\pi\\bun{x}{\\lambda}$\uff1a$x$ \u306e\u307f\u306e\u95a2\u6570<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u308c\u306f\uff0c\u5a92\u8cea\u306e\u4f4d\u7f6e $x$ \u306b\u3088\u3063\u3066\u6c7a\u307e\u308b\u90e8\u5206\u3067\u3059\u3002\u5f62\u3068\u3057\u3066\u306f\uff0c\u632f\u5e45\u304c $2A$\uff0c\u6ce2\u9577\u304c $\\lambda$ \u306e\u6b63\u5f26\u6ce2\u306e $y-x$ \u30b0\u30e9\u30d5\u306e\u5f0f\u3068\u540c\u3058\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$+\\cos$ \u578b\u3067\u3059\u306e\u3067\uff0c\u6982\u5f62\u3092\u56f3\u793a\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"219\" height=\"127\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406664.svg\" alt=\"\" class=\"wp-image-5818\"\/><noscript><img decoding=\"async\" width=\"219\" height=\"127\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406664.svg\" alt=\"\" class=\"wp-image-5818\"\/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u306e\u5f0f\u306e\u90e8\u5206\u306b\u306f\u6642\u523b $t$ \u304c\u542b\u307e\u308c\u3066\u3044\u307e\u305b\u3093\u306e\u3067\uff0c\u6642\u9593\u5909\u5316\u306f\u3057\u307e\u305b\u3093\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 class=\"wp-block-paragraph\">\u6c7a\u307e\u3063\u305f\u5f62\u306e\u6ce2\u304c\u3067\u304d\u3042\u304c\u308b\u308f\u3051\u3067\u3059\u306d\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">(2) $\\sin2\\pi\\bun{t}{T}$\uff1a$t$ \u306e\u307f\u306e\u95a2\u6570<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">$t$ \u306e\u307f\u306e\u95a2\u6570\u3068\u306a\u3063\u3066\u3044\u3066\uff0c\u6642\u523b\u5909\u5316\u306b\u3068\u3082\u306a\u3063\u3066 $-1$ \u304b\u3089 $1$ \u306e\u7bc4\u56f2\u3092\u52d5\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070 $t=0$ \u3067\u3042\u308c\u3070 $0$\uff0c$t=\\Bun{T}{2}$ \u3067\u3042\u308c\u3070 $1$\uff0c$t=\\bun32\\pi$ \u3067\u3042\u308c\u3070 $-1$ \u3068\u306a\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u3053\u308c\u3089\u3092\u8e0f\u307e\u3048\u3066<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u4e0a\u3092\u8e0f\u307e\u3048\u3066\uff0c$y=2A\\sin2\\pi\\Bun{t}{T}\\cos2\\pi\\bun{x}{\\lambda}$ \u304c\u3069\u306e\u3088\u3046\u306a\u5f62\u306b\u306a\u308b\u304b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(1) \u00d7 (2) \u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u306e\u3067\uff0c\u300c(1) \u3067\u6c7a\u307e\u3063\u305f\u5f62\u306e\u6ce2\u306b\uff0c(2) \u3067\u6c7a\u307e\u308b\u5024\u3092\u639b\u3051\u7b97\u3059\u308b\uff01\u300d\u3068\u8003\u3048\u308c\u3070 ok \u3067\u3059\u3002(2) \u306f\u6642\u523b\u306b\u3088\u3063\u3066\u5909\u5316\u3059\u308b $-1$ \u304b\u3089 $1$ \u306e\u5024\u3067\u3057\u305f\u3002\u5177\u4f53\u7684\u306b\u4ee5\u4e0b\u306e 5 \u3064\u306e\u6642\u523b\u3067\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\begin{aligned}&amp;\\stext{\u2460$t=0$ \u306e\u3068\u304d\uff1a}\\,\\sin2\\pi\\bun{t}{T}=1\\\\[10pt]&amp;\\stext{\u2461 $t=\\bun{T}{8}$ \u306e\u3068\u304d\uff1a}\\,\\sin2\\pi\\bun{t}{T}=\\bun{1}{\\sqrt2}\\\\[10pt]&amp;\\stext{\u2462 $t=\\bun{T}{4}$ \u306e\u3068\u304d\uff1a}\\,\\sin2\\pi\\bun{t}{T}=0\\\\[10pt]&amp;\\stext{\u2463 $t=\\bun{3T}{8}$ \u306e\u3068\u304d\uff1a}\\,\\sin2\\pi\\bun{t}{T}=-\\bun{1}{\\sqrt2}\\\\[10pt]&amp;\\stext{\u2464 $t=\\bun{T}{2}$ \u306e\u3068\u304d\uff1a}\\,\\sin2\\pi\\bun{t}{T}=-1\\end{aligned}$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6642\u523b\u306e\u5909\u5316\u306b\u5fdc\u3058\u3066 (2) \u306e\u5024\u304c\u5909\u5316\u3059\u308b\u3053\u3068\u3067\uff0c\u6ce2\u306b\u52d5\u304d\u304c\u751f\u307e\u308c\uff0c\u5b9a\u5728\u6ce2\u304c\u51fa\u6765\u4e0a\u304c\u308a\u307e\u3057\u305f\u306d\uff01<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"229\" height=\"121\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406671.svg\" alt=\"\" class=\"wp-image-5825\"\/><noscript><img decoding=\"async\" width=\"229\" height=\"121\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406671.svg\" alt=\"\" class=\"wp-image-5825\"\/><\/noscript><\/figure>\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 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