{"id":39666,"date":"2024-07-26T17:55:30","date_gmt":"2024-07-26T17:55:30","guid":{"rendered":"https:\/\/science-hub.click\/%E5%8A%9B%E5%AD%A6%E3%83%95%E3%82%A9%E3%83%BC%E3%83%A0%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-07-26T17:55:30","modified_gmt":"2024-07-26T17:55:30","slug":"%E5%8A%9B%E5%AD%A6%E3%83%95%E3%82%A9%E3%83%BC%E3%83%A0%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=39666","title":{"rendered":"\u529b\u5b66\u30d5\u30a9\u30fc\u30e0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><table cellpadding=\"3\" cellspacing=\"0\"><tr><td><center><\/center><\/td><\/tr><tr><td>\u5149\u5b66<\/td><\/tr><tr><td>\u96fb\u78c1<\/td><\/tr><tr><td>\u91cf\u5b50\u7269\u7406\u5b66<\/td><\/tr><tr><td>\u71b1\u529b\u5b66<\/td><\/tr><tr><td><span><a href=\"https:\/\/science-hub.click\/?p=29868\">\u6d41\u4f53\u529b\u5b66<\/a><\/span><\/td><\/tr><tr><td><strong><span><a href=\"https:\/\/science-hub.click\/?p=19376\">\u6a5f\u68b0\u5f0f<\/a><\/span><\/strong><\/td><\/tr><tr><td><span><a href=\"https:\/\/science-hub.click\/?p=100769\">\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6<\/a><\/span><\/td><\/tr><tr><td><span><a href=\"https:\/\/science-hub.click\/?p=10396\">\u30d6\u30e9\u30c3\u30af\u30db\u30fc\u30eb<\/a><\/span><\/td><\/tr><tr><td><span><a href=\"https:\/\/science-hub.click\/?p=58791\">\u30d9\u30af\u30c8\u30eb\u89e3\u6790<\/a><\/span><\/td><\/tr><\/table><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u529b\u5b66\u30d5\u30a9\u30fc\u30e0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/mXih8jk5I0c\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u904b\u52d5\u5b66: \u52d5\u5f84\u30d9\u30af\u30c8\u30eb\u3068\u305d\u306e\u9023\u7d9a\u5c0e\u95a2\u6570<\/h2><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=34348\">\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19<\/a><\/span>\u3067<\/span><\/h3><dl><dd><div class=\"math-formual notranslate\">$$ {symbol r =x symbol u_x + y symbol u_y + z symbol u_z} $$<\/div><\/dd><\/dl><p> <i><b>r<\/b><\/i>\u306b\u4f4d\u7f6e\u3059\u308b<span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9<\/a><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=31634\">\u901f\u5ea6<\/a><\/span>\u304c\u66f8\u304d\u8fbc\u307e\u308c\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {symbol v (symbol r) =\\frac{ \\text{d} symbol r}{ \\text{d} t }=\\frac{\\text{d} x}{\\text{d} t} symbol u_x + \\frac{\\text{d} y}{\\text{d} t} symbol u_y + \\frac{\\text{d} z}{\\text{d} t} symbol u_z} $$<\/div> \u3001<\/dd><\/dl><p>\u305d\u3057\u3066<span><a href=\"https:\/\/science-hub.click\/?p=19798\">\u52a0\u901f<\/a><\/span><\/p><dl><dd><div class=\"math-formual notranslate\">$$ {symbol a(symbol r)=\\frac{\\text{d} symbol v}{\\text{d} t}=\\frac{\\text{d}^2 symbol r}{\\text{d} t^2}=\\frac{\\text{d}^2 x}{\\text{d} t^2} symbol u_x + \\frac{\\text{d}^2 y}{\\text{d} t^2} symbol u_y + \\frac{\\text{d}^2 z}{\\text{d} t^2} symbol u_z} $$<\/div> \u3002<\/dd><\/dl><h3><span>\u5186\u7b52\u5ea7\u6a19\u3067<\/span><\/h3><dl><dd><div class=\"math-formual notranslate\">$$ {symbol r=\\rho symbol u_\\rho+z symbol u_z} $$<\/div><\/dd><dd><div class=\"math-formual notranslate\">$$ {symbol v=\\frac{\\text{d} symbol r}{\\text{d} t}= \\frac{\\text{d} \\rho}{\\text{d} t} symbol u_\\rho+\\rho\\frac{\\text{d} \\varphi}{\\text{d} t} symbol u_\\varphi +\\frac{\\text{d} z}{\\text{d}t} symbol u_z} $$<\/div> \u3002 <\/dd><dd><div class=\"math-formual notranslate\">$$ { symbol a =\\frac{\\text{d} symbol v}{\\text{d} t}=\\frac{\\text{d}^2 symbol r}{\\text{d}t^2}=\\left(\\frac{\\text{d}^2 \\rho}{\\text{d} t^2}-\\rho\\left(\\frac{\\text{d} \\varphi}{\\text{d} t}\\right)^2\\right) symbol u_\\rho+\\left(2\\frac{\\text{d} \\rho}{\\text{d} t}\\frac{\\text{d} \\varphi}{\\text{d} t}+\\rho\\frac{\\text{d}^2 \\phi}{\\text{d}t^2}\\right) symbol u_\\varphi+\\frac{\\text{d}^2 z}{\\text{d}t^2} symbol u_z} $$<\/div> \u3002<\/dd><\/dl><p>\u3053\u308c\u3089\u306e\u5f0f\u306f\u3001\u57fa\u5e95\u30d9\u30af\u30c8\u30eb\u306e\u3046\u3061\u306e 2 \u3064\u306e\u6642\u9593<span><a href=\"https:\/\/science-hub.click\/?p=14016\">\u5c0e\u95a2\u6570<\/a><\/span>\u304c\u30bc\u30ed\u3067\u306f\u306a\u3044\u3068\u3044\u3046\u4e8b\u5b9f\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ { \\frac{\\text{d} symbol u_\\rho}{\\text{d} t}=\\frac{\\text{d}\\varphi}{\\text{d}t} symbol u_\\varphi} $$<\/div> \u3001 <\/dd><dd><div class=\"math-formual notranslate\">$$ { \\frac{\\text{d} symbol u_\\varphi}{\\text{d} t}=-\\frac{\\text{d}\\varphi}{\\text{d}t} symbol u_\\rho} $$<\/div> \u3002<\/dd><\/dl><h3> <span><span><a href=\"https:\/\/science-hub.click\/?p=27928\">\u7403\u9762\u5ea7\u6a19<\/a><\/span>\u3067\u306f<\/span><\/h3><dl><dd><div class=\"math-formual notranslate\">$$ {symbol r=r symbol u_r} $$<\/div> \u3001 <\/dd><dd><div class=\"math-formual notranslate\">$$ {symbol v =\\frac{\\text{d} symbol r}{\\text{d} t}=\\frac{\\text{d}r}{\\text{d}t} symbol u_r+r\\frac{\\text{d} \\theta}{\\text{d} t} symbol u_\\theta+r \\frac{\\text{d}\\varphi}{\\text{d}t}\\sin \\theta symbol u_\\varphi} $$<\/div> ; <\/dd><dd><div class=\"math-formual notranslate\">$$ {symbol a =\\frac{\\text{d} symbol v }{\\text{d} t}=\\frac{\\text{d}^2 symbol r}{\\text{d}t^2}=a_r symbol u_r+a_\\theta symbol u_\\theta+a_\\varphi symbol u_\\varphi} $$<\/div> \u3001<\/dd><\/dl><p>\u3068\uff1a <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {a_r=\\left(\\frac{\\text{d}^2r}{\\text{d}t^2}-r\\left(\\frac{\\text{d} \\theta}{\\text{d} t}\\right)^2+r\\left(\\frac{\\text{d}\\varphi}{\\text{d}t}\\right)^2\\sin^2\\theta\\right)} $$<\/div> \u3001 <\/dd><dd><div class=\"math-formual notranslate\">$$ {a_\\theta=\\left( r \\frac{\\text{d}^2 \\theta}{\\text{d}t^2} +2\\frac{\\text{d}r}{\\text{d}t} \\frac{\\text{d} \\theta}{\\text{d} t}-r\\left( \\frac{\\text{d}\\varphi}{\\text{d}t} \\right)^2\\sin \\theta \\cos \\theta\\right)} $$<\/div><\/dd><dd><div class=\"math-formual notranslate\">$$ {a_\\varphi=\\left( r \\frac{\\text{d}^2 \\varphi}{\\text{d}t^2}\\sin \\theta +2\\frac{\\text{d}r}{\\text{d}t} \\frac{\\text{d} \\varphi}{\\text{d} t}\\sin \\theta + 2r\\frac{\\text{d} \\varphi}{\\text{d} t}\\frac{\\text{d} \\theta}{\\text{d} t}\\cos \\theta\\right)} $$<\/div> \u3002<\/dd><\/dl><h2>\u52d5\u7684<\/h2><h3><span>\u3044\u304f\u3064\u304b\u306e\u5f37\u307f<\/span><\/h3><ul><li>\u91cd\u3055 \uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {symbol P =m symbol g} $$<\/div><\/dd><\/dl><\/li><li>\u96fb\u78c1<span><a href=\"https:\/\/science-hub.click\/?p=24860\">\u76f8\u4e92\u4f5c\u7528<\/a><\/span>: <dl><dd><div class=\"math-formual notranslate\">$$ { symbol F_{1\\rightarrow 2}= \\frac{q_1 q_2}{4\\pi \\varepsilon_0} \\frac{symbol r_2 &#8211; symbol r_1}{|symbol r_2 &#8211; symbol r_1|^3}} $$<\/div><\/dd><\/dl><\/li><li>\u91cd\u529b\u76f8\u4e92\u4f5c\u7528: <dl><dd><div class=\"math-formual notranslate\">$$ { symbol F_{1\\rightarrow 2}= -G m_1 m_2 \\frac{symbol r_2 &#8211; symbol r_1}{|symbol r_2 &#8211; symbol r_1|^3}} $$<\/div><\/dd><\/dl><\/li><li>\u525b\u6027<i>k<\/i>\u3068\u4f38\u3073<i><b>u<\/b><\/i>\u306e\u3070\u306d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=27492\">\u5f35\u529b<\/a><\/span>\uff1a <dl><dd><div class=\"math-formual notranslate\">$$ { symbol F = &#8211; k symbol u} $$<\/div><\/dd><\/dl><\/li><li>\u6ed1\u3089\u304b\u306a<span>\u6469\u64e6<\/span>\uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {symbol F = -\\lambda symbol v} $$<\/div><\/dd><\/dl><\/li><li>\u99c6\u52d5<span>\u6163\u6027<\/span><span><a href=\"https:\/\/science-hub.click\/?p=63629\">\u529b<\/a><\/span>\uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {symbol f_{\\rm i_e}= &#8211; m symbol a_e} $$<\/div><\/dd><\/dl><\/li><li>\u30b3\u30ea\u30aa\u30ea\u306e\u6163\u6027\u529b: <dl><dd><div class=\"math-formual notranslate\">$$ {symbol f_{\\rm i_c}=-m symbol a_c} $$<\/div><\/dd><\/dl><\/li><\/ul><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u529b\u5b66\u30d5\u30a9\u30fc\u30e0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/YtB1VxgdNXk\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u529b\u5b66\u306e\u57fa\u672c\u539f\u7406<\/span><\/h3><ul><li><span><a href=\"https:\/\/science-hub.click\/?p=3678\">\u904b\u52d5\u91cf<\/a><\/span>\u30d9\u30af\u30c8\u30eb: <dl><dd><div class=\"math-formual notranslate\">$$ { symbol p = m symbol v} $$<\/div> \uff08\u4e00\u822c\u7684\u306b\uff09<\/dd><\/dl><\/li><li>\u529b\u5b66\u306e\u57fa\u672c\u539f\u7406: <dl><dd><div class=\"math-formual notranslate\">$$ {  \\frac{\\text{d} symbol p}{\\text{d}t}= \\sum symbol F \\; +symbol f_{\\rm i_e} + symbol f_{\\rm i_c}} $$<\/div><\/dd><\/dl><\/li><li>\u76f8\u4e92\u4f5c\u7528\u306e\u539f\u7406: 2 \u3064\u306e\u7269\u4f53<i>A<\/i>\u3068<i>B<\/i>\u306e\u5834\u5408\u3001 <dl><dd><div class=\"math-formual notranslate\">$$ {symbol F_{A \\rightarrow B} = &#8211; symbol F_{B \\rightarrow A}} $$<\/div><\/dd><\/dl><\/li><\/ul><h2>\u53c2\u7167\u5148\u306e\u5909\u66f4<\/h2><p>\u57fa\u6e96\u7cfb\u5185\u306e\u52d5\u5f84\u30d9\u30af\u30c8\u30eb<i><b>r<\/b><\/i>\u306e\u70b9\u3092\u8003\u3048\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div> \u3002\u307e\u305f\u306f\u5225\u306e\u53c2\u7167\u30d5\u30ec\u30fc\u30e0\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div> &#8216;\u3001\u305d\u306e\u539f\u70b9\u306f\u30d9\u30af\u30c8\u30eb\u534a\u5f84<i><b>s<\/b><\/i>\u306b\u3042\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div> \u3002\u70b9\u306e\u534a\u5f84\u30d9\u30af\u30c8\u30eb\u3002\u6b21\u306e\u3088\u3046\u306b\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div> \u300c\u305d\u308c\u3067\u306f\u300d <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {symbol r&#8217; = symbol r &#8211; symbol s} $$<\/div> \u3002<\/dd><\/dl><p>\u70b9\u901f\u5ea6\u306f\u6b21\u306e\u5358\u4f4d\u3067\u6e2c\u5b9a\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div>\u307e\u305f\u306f\u3067<div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div> &#8216;\u3002\u305d\u308c\u3089\u306f\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u793a\u3055\u308c\u3066\u3044\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div> &#8216;\u3001\u52a0\u901f\u5ea6\u3082\u540c\u69d8\u3067\u3059\u3002<\/p><ul><li>\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u901f\u5ea6: <dl><dd><div class=\"math-formual notranslate\">$$ {symbol v_{\\rm e}  = \\dot symbol s_{\\mathcal R} + symbol \\Omega \\wedge symbol r&#8217;} $$<\/div><\/dd><\/dl><\/li><li>\u901f\u5ea6\u306e<span>\u5408\u6210\u306e\u6cd5\u5247<\/span>: <dl><dd><div class=\"math-formual notranslate\">$$ {symbol v_{\\mathcal R} = symbol v&#8217;_{\\mathcal R&#8217;} + symbol v_{\\rm e} } $$<\/div><\/dd><\/dl><\/li><li>\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u306e\u52a0\u901f: <dl><dd><div class=\"math-formual notranslate\">$$ {symbol a_{\\rm e} = \\ddot symbol s_{\\mathcal R} + \\dot symbol \\Omega \\wedge symbol r&#8217; + symbol \\Omega \\wedge (symbol \\Omega \\wedge symbol r&#8217;)} $$<\/div><\/dd><\/dl><\/li><li>\u30b3\u30ea\u30aa\u30ea\u52a0\u901f\u5ea6: <dl><dd><div class=\"math-formual notranslate\">$$ {symbol a_{\\rm c}  = 2 symbol \\Omega \\wedge \\dot symbol r&#8217;_{\\mathcal R&#8217;}} $$<\/div><\/dd><\/dl><\/li><li>\u52a0\u901f\u5ea6\u306e\u5408\u6210\u6cd5\u5247: <dl><dd><div class=\"math-formual notranslate\">$$ {symbol a_{\\mathcal R} = symbol a&#8217;_{\\mathcal R&#8217;} + symbol a_{\\rm e}  + symbol a_{\\rm c} } $$<\/div><\/dd><\/dl><\/li><\/ul><h2>\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u6982\u5ff5<\/h2><ul><li>\u70b9<i><b>r&#8217;<\/b><\/i>\u306b\u5bfe\u3059\u308b\u70b9<i><b>r<\/b><\/i>\u306e<span>\u89d2\u904b\u52d5<\/span>\u91cf\uff1a<dl><dd><\/dd><\/dl><\/li><li>\u5225\u306e\u70b9<i><b>r&#8221;<\/b><\/i>\u3068\u6bd4\u8f03\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <dl><dd><div class=\"math-formual notranslate\">$$ {symbol L_{symbol r&#8221;}(symbol r)= (symbol r &#8211; symbol r&#8221;) \\wedge  m symbol v(symbol r) = symbol L_{symbol r&#8217;}(symbol r) + m (symbol r&#8217; &#8211; symbol r&#8221;) \\wedge symbol v(symbol r)} $$<\/div><\/dd><\/dl><\/li><li>\u534a\u5f84\u30d9\u30af\u30c8\u30eb<i><b>r&#8217;<\/b><\/i>\u306e\u70b9\u306b\u304a\u3051\u308b\u529b<i><b>F<\/b><\/i>\u306e\u30e2\u30fc\u30e1\u30f3\u30c8\uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {symbol M_{symbol r&#8217;} = (symbol r &#8211; symbol r&#8217;) symbol F} $$<\/div><\/dd><\/dl><\/li><li>\u5225\u306e\u70b9<i><b>r&#8221;<\/b><\/i>\u3068\u6bd4\u8f03\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <dl><dd><div class=\"math-formual notranslate\">$$ {symbol M_{symbol r&#8221;}(symbol r)= symbol M_{symbol r&#8217;}(symbol r) + (symbol r&#8217; &#8211; symbol r&#8221;) \\wedge symbol F} $$<\/div><\/dd><\/dl><\/li><li>\u89d2\u904b\u52d5\u91cf<span>\u5b9a\u7406<\/span>: <dl><dd><div class=\"math-formual notranslate\">$$ { \\frac{\\text{d} symbol L_{symbol r&#8217;}}{\\text{d} t}=\\sum symbol M_{symbol r&#8217;} (symbol F)\\;+symbol M_{symbol r&#8217;}(symbol f_{\\rm i_e})+ symbol M_{symbol r&#8217;}(symbol f_{\\rm i_c})} $$<\/div> \u3002<\/dd><\/dl><\/li><\/ul><h2>\u30a8\u30cd\u30eb\u30ae\u30fc\u9762<\/h2><ul><li><span><a href=\"https:\/\/science-hub.click\/?p=41580\">\u5909\u4f4d<\/a><\/span>d <i><b>r<\/b><\/i>\u4e2d\u306e\u529b<i><b>F<\/b><\/i>\u306e\u521d\u7b49\u4ed5\u4e8b\uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {\\delta W =symbol F \\cdot\\text{d} symbol r} $$<\/div><\/dd><\/dl><\/li><li>\u30d1\u30b9<span>\u0393 <sub><i>A<\/i> <i>B<\/i><\/sub><\/span>\u306b\u6cbf\u3063\u3066\u4f5c\u696d\u3059\u308b: <dl><dd><div class=\"math-formual notranslate\">$$ {\\displaystyle  W_{A \\rightarrow B}=\\int_{symbol r \\in \\Gamma_{AB}} \\delta W(symbol r)=\\int_{symbol r \\in \\Gamma_{AB}} symbol F \\cdot\\text{d} symbol l(symbol r)} $$<\/div><\/dd><\/dl><\/li><li>\u529b \uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {\\mathcal{P}=\\displaystyle \\frac{\\delta W}{\\text{d} t}} $$<\/div><\/dd><\/dl><\/li><li><span><a href=\"https:\/\/science-hub.click\/?p=15958\">\u529b\u306f\u3001<\/a><\/span>\u70b9 M \u306b\u52a0\u3048\u3089\u308c\u308b\u529b\u3068\u70b9\u306e\u901f\u5ea6\u306e<span><a href=\"https:\/\/science-hub.click\/?p=69519\">\u30b9\u30ab\u30e9\u30fc\u7a4d<\/a><\/span>\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <dl><dd><div class=\"math-formual notranslate\">$$ {\\mathcal{P}= symbol F \\cdot symbol v} $$<\/div><\/dd><\/dl><\/li><li>\u7269\u8cea\u70b9\u306e<span><a href=\"https:\/\/science-hub.click\/?p=54507\">\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><\/span>: <dl><dd><div class=\"math-formual notranslate\">$$ {E_{\\rm c} =\\displaystyle \\frac{1}{2}m |symbol v|^2} $$<\/div><\/dd><\/dl><\/li><li>\u904b\u52d5<span><a href=\"https:\/\/science-hub.click\/?p=54845\">\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><\/span>\u5b9a\u7406: <dl><dd><div class=\"math-formual notranslate\">$$ {\\displaystyle \\Delta E_{\\rm c}=\\sum W(symbol F)\\;+W( symbol f_{\\rm i_e})+W(symbol {f}_{\\rm i_c})} $$<\/div><\/dd><\/dl><\/li><li>\u6a5f\u68b0\u30a8\u30cd\u30eb\u30ae\u30fc:<dl><dd> <span><i>E<\/i> <sub>m<\/sub> = <i>E<\/i> <sub>c<\/sub> + <i>E<\/i> <sub>p<\/sub><\/span><\/dd><\/dl><\/li><\/ul><h3><span>\u4e00\u90e8\u306e\u4fdd\u5b88\u52e2\u529b\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc<\/span><\/h3><p>\u3053\u308c\u3089\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u305d\u308c\u305e\u308c\u3001\u6700\u3082\u8fd1\u3044\u5b9a\u6570\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p><ul><li>\u91cd\u529b\uff1a<dl><dd> <span><i>E<\/i> <sub>p<\/sub> <i>=<\/i> <i>mg<\/i> <i>z<\/i><\/span><\/dd><\/dl><\/li><li>\u6625 \uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {E_{\\rm p} = \\frac{1}{2}k |symbol u|^2} $$<\/div><\/dd><\/dl><\/li><li>\u30af\u30fc\u30ed\u30f3\u529b: <dl><dd><div class=\"math-formual notranslate\">$$ {E_{\\rm p} = \\frac{1}{4\\pi \\varepsilon_0} \\frac{q_1 q_2}{|symbol r_1 &#8211; symbol r_2|}} $$<\/div><\/dd><\/dl><\/li><li>\u91cd\u529b\uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {E_{\\rm p} = -\\frac{G m_1m_2}{|symbol r_1 &#8211; symbol r_2|}} $$<\/div><\/dd><\/dl><\/li><\/ul><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u529b\u5b66\u30d5\u30a9\u30fc\u30e0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/rqBrS7pJ_xs\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u767a\u632f\u5668<\/h2><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=54225\">\u8abf\u548c\u767a\u632f\u5668<\/a><\/span>\uff08\u30c0\u30f3\u30d4\u30f3\u30b0\u306a\u3057\uff09<\/span><\/h3><ul><li>\u6b21\u306e\u5f62\u5f0f\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f: <dl><dd><div class=\"math-formual notranslate\">$$ { \\frac{\\text{d}^2 u}{\\text{d} t^2}+\\omega_0^2 u=0} $$<\/div> \u3002<\/dd><\/dl><\/li><li>\u304d\u308c\u3044\u306a\u8108\u52d5: <dl><dd><div class=\"math-formual notranslate\">$$ {\\omega_0=\\frac{k}{m}} $$<\/div><\/dd><\/dl><\/li><li>\u81ea\u8eab\u306e\u6642\u4ee3\uff1a <dl><dd><div class=\"math-formual notranslate\">$$ {T_0=\\displaystyle \\frac{2\\pi}{\\omega_0}} $$<\/div><\/dd><\/dl><\/li><li>\u89e3\u6c7a\u7b56\u306e\u5f62\u5f0f:<dl><dd> <span><i>u<\/i> ( <i>t<\/i> ) = <i>A<\/i> cos(\u03c9 <sub>0<\/sub> <i>t<\/i> ) + <i>B<\/i> sin(\u03c9 <sub>0<\/sub> <i>t<\/i> )<\/span> \u3002<\/dd><\/dl><\/li><\/ul><p>\u5b9a\u6570<i>A<\/i>\u3068<i>B \u306f<\/i>\u521d\u671f\u6761\u4ef6\u306b\u3088\u3063\u3066\u6c7a\u307e\u308a\u307e\u3059\u3002<\/p><h3><span>\u6e1b\u8870\u4fc2\u6570<i>\u03bb<\/i>\u306e\u767a\u632f\u5668<\/span><\/h3><ul><li>\u6b21\u306e\u5f62\u5f0f\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f: <dl><dd><div class=\"math-formual notranslate\">$$ {\\frac{\\text{d}^2 u}{\\text{d} t^2}+2\\lambda\\frac{\\text{d} u}{\\text{d} t}+\\omega_0^2 u=0 } $$<\/div><\/dd><\/dl><\/li><li><span title=\"\u7279\u6027\u5f0f\uff08\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093\uff09\">\u7279\u6027<span><a href=\"https:\/\/science-hub.click\/?p=66517\">\u65b9\u7a0b\u5f0f<\/a><\/span><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=81583\">\u5224\u5225\u5f0f<\/a><\/span>\u306e\u5024\u306b\u5fdc\u3058\u305f 3 \u3064\u306e\u30b1\u30fc\u30b9: <dl><dd><div class=\"math-formual notranslate\">$$ {\\Delta=4(\\lambda^2-\\omega_0^2)} $$<\/div><\/dd><\/dl><ul><li> <span>\u0394 &lt; 0<\/span> \u3001\u3064\u307e\u308a<span>\u03bb &lt; \u03c9 <sub>0<\/sub><\/span>\u306e\u5834\u5408\u3001<dl><dd> \uff08\u64ec\u4f3c\u5b9a\u671f\u98df\uff09<\/dd><dd>\u64ec\u4f3c\u8108\u52d5: <\/dd><dd><div class=\"math-formual notranslate\">$$ {\\Omega=\\sqrt{\\omega_0^2-\\lambda^2}} $$<\/div> ;<\/dd><dd>\u64ec\u4f3c\u671f\u9593: <\/dd><dd><div class=\"math-formual notranslate\">$$ {T=\\displaystyle \\frac{2\\pi}{\\Omega}} $$<\/div><\/dd><\/dl><\/li><li> <span>\u0394 = 0<\/span> \u3001\u307e\u305f\u306f<span>\u03bb = \u03c9 <sub>0<\/sub><\/span>\u306e\u5834\u5408\u3001<dl><dd> <span><i>x<\/i> ( <i>t<\/i> ) = ( <i>A<\/i> <i>t<\/i> + <i>B<\/i> ) <i>e<\/i> <sup>\u2212 \u03bb <i>t<\/i><\/sup><\/span> (\u81e8\u754c\u9818\u57df)<\/dd><\/dl><\/li><li> <span>\u0394 &gt; 0<\/span> \u3001\u3064\u307e\u308a<span>\u03bb &gt; \u03c9 <sub>0<\/sub><\/span>\u306e\u5834\u5408<dl><dd><div class=\"math-formual notranslate\">$$ {x(t)=e^{-\\lambda t}(Ae^{\\sqrt{\\lambda^2-\\omega_0^2}.t}+Be^{-\\sqrt{\\lambda^2-\\omega_0^2}.t})} $$<\/div> (\u975e\u5468\u671f\u7684\u4f53\u5236)<\/dd><\/dl><\/li><\/ul><\/li><li>\u3044\u305a\u308c\u306e\u5834\u5408\u3082\u3001\u5b9a\u6570<i>A<\/i>\u3068<i>B \u306f<\/i>\u521d\u671f\u6761\u4ef6\u306b\u3088\u3063\u3066\u6c7a\u307e\u308a\u307e\u3059\u3002<\/li><\/ul><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D8%A7%D8%B3%D8%AA%D9%85%D8%A7%D8%B1%D8%A9\">\u0627\u0633\u062a\u0645\u0627\u0631\u0629 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Formulari\">Formulari \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Formul%C3%A1%C5%99\">Formul\u00e1\u0159 \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/da.wikipedia.org\/wiki\/Blanket\">Blanket \u2013 danois<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Formular\">Formular \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Form_(document)\">Form (document) \u2013 anglais<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u529b\u5b66\u30d5\u30a9\u30fc\u30e0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u9178\u7d20\u89e3\u96e2\u66f2\u7dda\u3068\u53f3\u65b9\u79fb\u52d5\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/22ZxJ3FnQSs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u5149\u5b66 \u96fb\u78c1 \u91cf\u5b50\u7269\u7406\u5b66 \u71b1\u529b\u5b66 \u6d41\u4f53\u529b\u5b66 \u6a5f\u68b0\u5f0f \u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6 \u30d6\u30e9\u30c3\u30af\u30db\u30fc\u30eb \u30d9\u30af\u30c8\u30eb\u89e3\u6790 \u904b\u52d5\u5b66: \u52d5\u5f84\u30d9\u30af\u30c8\u30eb\u3068\u305d\u306e\u9023\u7d9a\u5c0e\u95a2\u6570 \u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u3067 $$ {symbol r =x symbol u_x + y  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":39667,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/ZChMg6sTs6w\/0.jpg","fifu_image_alt":"\u529b\u5b66\u30d5\u30a9\u30fc\u30e0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[11,13,14,10,39741,12,24710,8,85,16,15,9],"class_list":["post-39666","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-formulaire-de-mecanique","tag-dossier","tag-formulaire","tag-definition","tag-mecanique","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/39666"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=39666"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/39666\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/39667"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=39666"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=39666"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=39666"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}