{"id":335,"date":"2026-05-08T02:27:04","date_gmt":"2026-05-07T17:27:04","guid":{"rendered":"https:\/\/wuhanqing.cn\/wordpress\/?p=335"},"modified":"2026-05-08T02:27:04","modified_gmt":"2026-05-07T17:27:04","slug":"%e5%ae%9f%e9%a8%93%e3%83%ac%e3%83%9d%e3%83%bc%e3%83%88-%e5%9b%9e%e8%bb%a2%e6%85%a3%e6%80%a7%e3%81%ae%e6%b8%ac%e5%ae%9a%e3%81%a8%e8%a7%92%e9%81%8b%e5%8b%95%e9%87%8f%e3%81%ae%e4%bf%9d%e5%ad%98","status":"publish","type":"post","link":"https:\/\/wuhanqing.cn\/wordpress\/ja\/2026\/05\/08\/%e5%ae%9f%e9%a8%93%e3%83%ac%e3%83%9d%e3%83%bc%e3%83%88-%e5%9b%9e%e8%bb%a2%e6%85%a3%e6%80%a7%e3%81%ae%e6%b8%ac%e5%ae%9a%e3%81%a8%e8%a7%92%e9%81%8b%e5%8b%95%e9%87%8f%e3%81%ae%e4%bf%9d%e5%ad%98\/","title":{"rendered":"[\u5b9f\u9a13\u30ec\u30dd\u30fc\u30c8] \u56de\u8ee2\u6163\u6027\u306e\u6e2c\u5b9a\u3068\u89d2\u904b\u52d5\u91cf\u306e\u4fdd\u5b58"},"content":{"rendered":"

# 1.\u5b9f\u9a13\u984c\u76ee<\/p>\n

\u672c\u5b9f\u9a13\u306e\u30c6\u30fc\u30de\u306f **\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u6e2c\u5b9a\u3068\u89d2\u904b\u52d5\u91cf\u4fdd\u5b58** \u3067\u3042\u308b\u3002<\/p>\n

# 2. \u5b9f\u9a13\u76ee\u7684<\/p>\n

\u56de\u8ee2\u3059\u308b\u525b\u4f53\uff08Rigid Body\uff09\u306e\u89d2\u52a0\u901f\u5ea6\uff08Angular Acceleration\uff09\u3092\u6e2c\u5b9a\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u305d\u306e\u7269\u4f53\u306e**\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\uff08Moment of Inertia\uff09**\u3092\u5b9f\u9a13\u7684\u306b\u6c7a\u5b9a\u3057\u3001\u5e7e\u4f55\u5b66\u7684\u69cb\u9020\u306b\u57fa\u3065\u3044\u3066\u8a08\u7b97\u3057\u305f\u7406\u8ad6\u5024\u3068\u6bd4\u8f03\u3057\u3066\u56de\u8ee2\u904b\u52d5\u306e\u529b\u5b66\u7684\u539f\u7406\u3092\u7406\u89e3\u3059\u308b\u3002\u307e\u305f\u3001\u56de\u8ee2\u7cfb\u306b\u5916\u90e8\u30c8\u30eb\u30af\u304c\u4f5c\u7528\u3057\u306a\u3044\u5834\u5408\u306b**\u89d2\u904b\u52d5\u91cf\uff08Angular Momentum\uff09**\u304c\u4fdd\u5b58\u3055\u308c\u308b\u3053\u3068\u3092\u5b9f\u9a13\u7684\u306b\u78ba\u8a8d\u3057\u3001\u3053\u306e\u904e\u7a0b\u3067\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5909\u5316\u3092\u8003\u5bdf\u3059\u308b\u3002<\/p>\n

# 3. \u95a2\u9023\u7406\u8ad6<\/p>\n

## 3.1 \u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\uff08Moment of Inertia\uff09<\/p>\n

\u56de\u8ee2\u904b\u52d5\u3092\u3059\u308b\u7269\u4f53\u306b\u304a\u3044\u3066\u76f4\u7dda\u904b\u52d5\u306e\u300c\u8cea\u91cf\uff08Mass\uff09\u300d\u306b\u5bfe\u5fdc\u3059\u308b\u7269\u7406\u91cf\u3067\u3042\u308a\u3001\u7269\u4f53\u304c\u305d\u306e\u56de\u8ee2\u72b6\u614b\u3092\u7dad\u6301\u3057\u3088\u3046\u3068\u3059\u308b\u6027\u8cea\u306e\u5927\u304d\u3055\u3092\u793a\u3059\u3002\u8cea\u91cf $m_i$ \u306e\u7c92\u5b50\u304c\u56de\u8ee2\u8ef8\u304b\u3089\u8ddd\u96e2 $r_i$ \u96e2\u308c\u3066\u3044\u308b\u3068\u304d\u3001\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I$ \u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u3002<\/p>\n

$$I = \\sum m_i r_i^2$$<\/p>\n

\u9023\u7d9a\u7684\u306a\u8cea\u91cf\u5206\u5e03\u3092\u6301\u3064\u525b\u4f53\u306e\u5834\u5408\u306f\u3001\u5fae\u5c0f\u8cea\u91cf $dm$ \u306b\u5bfe\u3057\u3066\u7a4d\u5206\u3057\u3066\u6c42\u3081\u308b\u3002<\/p>\n

$$I = \\int r^2 dm$$<\/p>\n

### 3.1.1 \u5186\u677f\uff08Disk\uff09\u3068\u74b0\uff08Ring\uff09\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5c0e\u51fa\uff08\u8a3c\u660e\uff09<\/p>\n

#### 3.1.1.1 \u4e00\u69d8\u306a\u5186\u677f\uff08Solid Disk\uff09<\/p>\n

\u534a\u5f84 $R$\u3001\u5168\u8cea\u91cf $M$ \u306e\u4e00\u69d8\u306a\u5186\u677f\u306e\u4e2d\u5fc3\u8ef8\u306b\u5bfe\u3059\u308b\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u6c42\u3081\u308b\u3002\u5186\u677f\u306e\u9762\u5bc6\u5ea6\u306f $\\sigma = \\frac{M}{\\pi R^2}$ \u3067\u3042\u308b\u3002<\/p>\n

\u534a\u5f84 $r$\u3001\u539a\u3055 $dr$ \u306e\u5fae\u5c0f\u306a\u74b0\u3092\u8003\u3048\u308b\u3068\u3001\u5fae\u5c0f\u9762\u7a4d $dA = 2\\pi r dr$ \u3067\u3042\u308a\u3001\u5fae\u5c0f\u8cea\u91cf\u306f $dm = \\sigma dA = \\frac{M}{\\pi R^2} \\cdot 2\\pi r dr$ \u3067\u3042\u308b\u3002<\/p>\n

$$I_{disk} = \\int_0^R r^2 dm = \\int_0^R r^2 \\left( \\frac{2Mr}{R^2} \\right) dr = \\frac{2M}{R^2} \\int_0^R r^3 dr$$<\/p>\n

$$I_{disk} = \\frac{2M}{R^2} \\left[ \\frac{r^4}{4} \\right]_0^R = \\frac{2M}{R^2} \\cdot \\frac{R^4}{4} = \\frac{1}{2}MR^2$$<\/p>\n

#### 3.1.1.2 \u539a\u3044\u74b0\uff08Thick Ring\uff09<\/p>\n

\u5185\u5f84 $R_1$\u3001\u5916\u5f84 $R_2$\u3001\u8cea\u91cf $M$ \u306e\u74b0\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u6c42\u3081\u308b\u3002\u9762\u5bc6\u5ea6\u306f $\\sigma = \\frac{M}{\\pi(R_2^2 - R_1^2)}$ \u3067\u3042\u308b\u3002<\/p>\n

$$I_{ring} = \\int_{R_1}^{R_2} r^2 \\left( \\frac{2Mr}{R_2^2 - R_1^2} \\right) dr = \\frac{2M}{R_2^2 - R_1^2} \\left[ \\frac{r^4}{4} \\right]_{R_1}^{R_2}$$<\/p>\n

$$I_{ring} = \\frac{2M}{R_2^2 - R_1^2} \\cdot \\frac{R_2^4 - R_1^4}{4} = \\frac{M}{2(R_2^2 - R_1^2)}(R_2^2 - R_1^2)(R_2^2 + R_1^2)$$<\/p>\n

$$I_{ring} = \\frac{1}{2}M(R_1^2 + R_2^2)$$<\/p>\n

## 3.2 \u89d2\u904b\u52d5\u91cf\u3068\u30c8\u30eb\u30af\u306e\u95a2\u4fc2\u306e\u5c0e\u51fa\uff08\u30cb\u30e5\u30fc\u30c8\u30f3\u7b2c2\u6cd5\u5247\u306e\u56de\u8ee2\u7248\uff09<\/p>\n

\u56de\u8ee2\u904b\u52d5\u3092\u529b\u5b66\u7684\u306b\u89e3\u6790\u3059\u308b\u305f\u3081\u306b\u3001\u4e26\u9032\u904b\u52d5\u306e\u57fa\u672c\u6cd5\u5247\u3067\u3042\u308b\u30cb\u30e5\u30fc\u30c8\u30f3\u7b2c2\u6cd5\u5247\uff08$F = ma$\uff09\u3092\u56de\u8ee2\u904b\u52d5\u306e\u5f62\u306b\u5909\u63db\u3059\u308b\u3002<\/p>\n

\u8cea\u91cf $m$ \u306e\u5358\u4e00\u7c92\u5b50\u3092\u4eee\u5b9a\u3059\u308b\u3068\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u7b2c2\u6cd5\u5247\u306e\u5fae\u5206\u5f62\u306f\u7dda\u904b\u52d5\u91cf\uff08$p = mv$\uff09\u306e\u6642\u9593\u5909\u5316\u7387\u3068\u3057\u3066\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u308b\u3002<\/p>\n

$$F = \\frac{dp}{dt} = m\\frac{dv}{dt}$$<\/p>\n

\u3053\u306e\u7c92\u5b50\u304c\u539f\u70b9\u304b\u3089\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb $r$ \u306b\u3042\u308b\u3068\u304d\u3001\u7c92\u5b50\u306b\u4f5c\u7528\u3059\u308b\u30c8\u30eb\u30af $\\tau$ \u306f\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3068\u529b\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u3002<\/p>\n

$$\\tau = r \\times F$$<\/p>\n

\u4e0a\u306e\u5f0f\u306e $F$ \u306b\u30cb\u30e5\u30fc\u30c8\u30f3\u7b2c2\u6cd5\u5247\u306e\u5fae\u5206\u5f62\u3092\u4ee3\u5165\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n

$$\\tau = r \\times \\frac{dp}{dt} \\tag{1}$$<\/p>\n

\u4e00\u65b9\u3001\u7c92\u5b50\u306e\u89d2\u904b\u52d5\u91cf $L$ \u306f\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3068\u7dda\u904b\u52d5\u91cf\u306e\u5916\u7a4d\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u3002<\/p>\n

$$L = r \\times p$$<\/p>\n

\u3053\u306e\u89d2\u904b\u52d5\u91cf\u3092\u6642\u9593 $t$ \u306b\u95a2\u3057\u3066\u5fae\u5206\u3059\u308b\u3068\u3001\u7a4d\u306e\u5fae\u5206\u6cd5\u5247\u306b\u3088\u308a\u6b21\u306e\u3088\u3046\u306b\u5c55\u958b\u3055\u308c\u308b\u3002<\/p>\n

$$\\frac{dL}{dt} = \\frac{d}{dt}(r \\times p) = \\left( \\frac{dr}{dt} \\times p \\right) + \\left( r \\times \\frac{dp}{dt} \\right)$$<\/p>\n

\u3053\u3053\u3067 $\\frac{dr}{dt}$ \u306f\u7c92\u5b50\u306e\u901f\u5ea6 $v$ \u3067\u3042\u308a\u3001\u7dda\u904b\u52d5\u91cf\u306f $p = mv$ \u3067\u3042\u308b\u3002\u901f\u5ea6\u30d9\u30af\u30c8\u30eb $v$ \u3068\u305d\u308c\u3068\u5e73\u884c\u306a $mv$ \u306e\u5916\u7a4d\u306f 0 \u306b\u306a\u308b\uff08$v \\times mv = 0$\uff09\u3002\u3057\u305f\u304c\u3063\u3066\u7b2c\u4e00\u9805\u306f\u6d88\u3048\u3001\u7b2c\u4e8c\u9805\u306e\u307f\u304c\u6b8b\u308b\u3002<\/p>\n

$$\\frac{dL}{dt} = r \\times \\frac{dp}{dt} \\tag{2}$$<\/p>\n

\u5f0f (1) \u3068\u5f0f (2) \u3092\u6bd4\u8f03\u3059\u308b\u3068\u3001\u30c8\u30eb\u30af\u3068\u89d2\u904b\u52d5\u91cf\u306e\u6839\u672c\u7684\u306a\u95a2\u4fc2\u304c\u5f97\u3089\u308c\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u7cfb\u306b\u4f5c\u7528\u3059\u308b\u5408\u8a08\u30c8\u30eb\u30af\u306f\u89d2\u904b\u52d5\u91cf\u306e\u6642\u9593\u5909\u5316\u7387\u306b\u7b49\u3057\u3044\u3002<\/p>\n

$$\\tau = \\frac{dL}{dt} \\tag{3}$$<\/p>\n

\u3053\u306e\u95a2\u4fc2\u3092\u56fa\u5b9a\u8ef8\u56de\u8ee2\u3059\u308b\u525b\u4f53\u306b\u62e1\u5f35\u3059\u308b\u3002\u525b\u4f53\u304c\u89d2\u901f\u5ea6 $\\omega$ \u3067\u56de\u8ee2\u3059\u308b\u3068\u304d\u3001\u534a\u5f84 $r$ \u306b\u3042\u308b\u7c92\u5b50\u306e\u901f\u5ea6\u306f $v = r\\omega$\uff08\u30b9\u30ab\u30e9\u30fc\u8868\u8a18\uff09\u3067\u3042\u308a\u3001\u305d\u306e\u7c92\u5b50\u306e\u89d2\u904b\u52d5\u91cf\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n

$$L = r \\cdot p = r(mv) = mr^2\\omega$$<\/p>\n

\u3053\u3053\u3067 $mr^2$ \u306f\u7c92\u5b50\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3078\u306e\u5bc4\u4e0e\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066 $L = I\\omega$ \u304c\u6210\u308a\u7acb\u3064\u3002\u3053\u308c\u3092\u5f0f (3) \u306b\u4ee3\u5165\u3057\u3066\u6642\u9593\u5fae\u5206\u3092\u884c\u3046\u3068\u3001<\/p>\n

$$\\tau = \\frac{d}{dt}(I\\omega) = I\\frac{d\\omega}{dt} = I\\alpha \\tag{4}$$<\/p>\n

\u6700\u7d42\u7684\u306b\u3001\u4e26\u9032\u904b\u52d5\u306e $F = m\\frac{dv}{dt}$ \u306b\u5b8c\u5168\u306b\u5bfe\u5fdc\u3059\u308b\u56de\u8ee2\u904b\u52d5\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n

$$\\tau = r \\times F = I\\alpha = \\frac{dL}{dt}$$<\/p>\n

\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u672c\u5b9f\u9a13\u306b\u304a\u3044\u3066\u5186\u677f\u3084\u30ea\u30f3\u30b0\u306e\u56de\u8ee2\u52a0\u901f\u5ea6 $\\alpha$ \u3092\u6e2c\u5b9a\u3057\u3066\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I$ \u3092\u9006\u7b97\u3059\u308b\u305f\u3081\u306e\u91cd\u8981\u306a\u6570\u5b66\u7684\u6839\u62e0\u3068\u306a\u308b\u3002<\/p>\n

## 3.3 \u56de\u8ee2\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff08Rotational Kinetic Energy\uff09\u3068\u305d\u306e\u5c0e\u51fa<\/p>\n

\u4e26\u9032\u904b\u52d5\u3092\u3059\u308b\u7269\u4f53\u306e\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u8cea\u91cf\u3068\u901f\u5ea6\u306b\u3088\u3063\u3066\u6c7a\u307e\u308b\u3088\u3046\u306b\u3001\u56fa\u5b9a\u8ef8\u56de\u8ee2\u3059\u308b\u525b\u4f53\u306e\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3082\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3068\u89d2\u901f\u5ea6\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u3002\u3053\u308c\u3092\u56de\u8ee2\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u547c\u3073\u3001\u4e26\u9032\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u57fa\u672c\u5b9a\u7fa9\u3092\u56de\u8ee2\u3059\u308b\u525b\u4f53\u306e\u5404\u5fae\u5c0f\u8cea\u91cf\u8981\u7d20\u306b\u9069\u7528\u3057\u3066\u5c0e\u51fa\u3067\u304d\u308b\u3002<\/p>\n

### 3.3.1 \u5c0e\u51fa\u904e\u7a0b<\/p>\n

\u525b\u4f53\u304c\u56fa\u5b9a\u8ef8\u3092\u4e2d\u5fc3\u306b\u89d2\u901f\u5ea6 $\\omega$ \u3067\u56de\u8ee2\u3057\u3066\u3044\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3002\u3053\u306e\u525b\u4f53\u306f\u591a\u6570\u306e\u5fae\u5c0f\u7c92\u5b50\u304b\u3089\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u3068\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n

\u56de\u8ee2\u8ef8\u304b\u3089\u5782\u76f4\u8ddd\u96e2 $r_i$ \u96e2\u308c\u305f\u8cea\u91cf $m_i$ \u3092\u6301\u3064 $i$ \u756a\u76ee\u306e\u7c92\u5b50\u306e\u63a5\u7dda\u901f\u5ea6 $v_i$ \u306f\u6b21\u306e\u3088\u3046\u306b\u89d2\u901f\u5ea6 $\\omega$ \u3068\u95a2\u4fc2\u3059\u308b\u3002<\/p>\n

$$v_i = r_i \\omega$$<\/p>\n

\u3053\u306e $i$ \u756a\u76ee\u306e\u7c92\u5b50\u306e\u4e26\u9032\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc $K_i$ \u306f\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u306e\u5b9a\u7fa9\u306b\u5f93\u3044\u6b21\u306e\u901a\u308a\u3067\u3042\u308b\u3002<\/p>\n

$$K_i = \\frac{1}{2}m_i v_i^2$$<\/p>\n

\u3053\u3053\u306b $v_i = r_i \\omega$ \u3092\u4ee3\u5165\u3057\u3066\u6574\u7406\u3059\u308b\u3068\u3001<\/p>\n

$$K_i = \\frac{1}{2}m_i (r_i \\omega)^2 = \\frac{1}{2} m_i r_i^2 \\omega^2$$<\/p>\n

\u3068\u306a\u308b\u3002<\/p>\n

\u525b\u4f53\u5168\u4f53\u306e\u56de\u8ee2\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc $K_{rot}$ \u306f\u5168\u3066\u306e\u7c92\u5b50\u306e\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u548c\u3067\u3042\u308b\u3002\u525b\u4f53\u306f\u525b\u4f53\u7684\u306b\u56de\u8ee2\u3059\u308b\u306e\u3067\u5168\u7c92\u5b50\u304c\u540c\u4e00\u306e\u89d2\u901f\u5ea6 $\\omega$ \u3092\u5171\u6709\u3057\u3001\u3057\u305f\u304c\u3063\u3066 $\\omega$ \u3092\u548c\u306e\u5916\u306b\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n

$$K_{rot} = \\sum_{i} K_i = \\sum_{i} \\left( \\frac{1}{2} m_i r_i^2 \\omega^2 \\right)$$<\/p>\n

$$K_{rot} = \\frac{1}{2} \\left( \\sum_{i} m_i r_i^2 \\right) \\omega^2$$<\/p>\n

\u3053\u3053\u3067\u62ec\u5f27\u5185\u306e\u5f0f $\\sum_{i} m_i r_i^2$ \u306f\u524d\u8ff0\u306e\u7bc0 3.1 \u3067\u5b9a\u7fa9\u3057\u305f\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I$ \u3068\u540c\u3058\u3067\u3042\u308b\u3002<\/p>\n

\u3057\u305f\u304c\u3063\u3066\u62ec\u5f27\u90e8\u5206\u3092 $I$ \u306b\u7f6e\u304d\u63db\u3048\u308b\u3068\u6700\u7d42\u7684\u306a\u56de\u8ee2\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5f0f\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n

$$K_{rot} = \\frac{1}{2}I\\omega^2$$<\/p>\n

\u3053\u306e\u7d50\u679c\u306f\u4e26\u9032\u904b\u52d5\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5f0f $K = \\frac{1}{2}mv^2$ \u3068\u5b8c\u5168\u306a\u6570\u5b66\u7684\u5bfe\u79f0\u6027\u3092\u6210\u3059\u3002\u3059\u306a\u308f\u3061\u56de\u8ee2\u904b\u52d5\u3067\u306f\u8cea\u91cf $m$ \u306e\u4ee3\u308f\u308a\u306b\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I$ \u304c\u3001\u7dda\u901f\u5ea6 $v$ \u306e\u4ee3\u308f\u308a\u306b\u89d2\u901f\u5ea6 $\\omega$ \u304c\u5f79\u5272\u3092\u679c\u305f\u3059\u3053\u3068\u3092\u793a\u3059\u3002<\/p>\n

### 3.3.2 \u672c\u5b9f\u9a13\u306b\u304a\u3051\u308b\u7269\u7406\u7684\u610f\u5473<\/p>\n

\u672c\u5b9f\u9a13\u306e\u300c\u5b9f\u9a13 B\uff08\u89d2\u904b\u52d5\u91cf\u4fdd\u5b58\uff09\u300d\u3067\u56de\u8ee2\u3059\u308b\u5186\u677f\u306b\u30ea\u30f3\u30b0\u3092\u843d\u3068\u3059\u904e\u7a0b\u306f\u3001\u5916\u90e8\u30c8\u30eb\u30af\u304c\u306a\u3044\u305f\u3081\u89d2\u904b\u52d5\u91cf $L$ \u306f\u4fdd\u5b58\u3055\u308c\u308b\u304c\u3001\u5185\u90e8\u6469\u64e6\u306b\u3088\u308a\u6700\u7d42\u7684\u306b\u4e21\u8005\u304c\u540c\u3058\u89d2\u901f\u5ea6\u3067\u56de\u8ee2\u3059\u308b\u3068\u3044\u3046\u70b9\u3067\u5b8c\u5168\u975e\u5f3e\u6027\u885d\u7a81\uff08Perfectly inelastic collision\uff09\u3068\u529b\u5b66\u7684\u306b\u540c\u7b49\u3067\u3042\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3053\u306e\u5f0f\u3092\u7528\u3044\u308c\u3070\u3001\u885d\u7a81\u306e\u524d\u5f8c\u3067\u306e\u56de\u8ee2\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8a08\u7b97\u3057\u3001\u89d2\u904b\u52d5\u91cf\u304c\u4fdd\u5b58\u3055\u308c\u3066\u3044\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u71b1\u306a\u3069\u306b\u6563\u9038\u3057\u3066\u3044\u308b\uff08$\\Delta K_{rot} < 0$\uff09\u3053\u3068\u3092\u8ffd\u52a0\u7684\u306b\u793a\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002\n\n## 3.4 \u89d2\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff08Conservation of Angular Momentum\uff09\n\n\u7cfb\u306b\u4f5c\u7528\u3059\u308b\u5916\u529b\u306b\u3088\u308b\u5408\u8a08\u30c8\u30eb\u30af\u304c 0 \u306e\u5834\u5408\uff08$\\tau_{ext} = 0$\uff09\u3001\u7cfb\u306e\u7dcf\u89d2\u904b\u52d5\u91cf\u306f\u4e00\u5b9a\u306b\u4fdd\u305f\u308c\u308b\u3002\n\n$$\\frac{dL}{dt} = 0 \\implies L = I_i \\omega_i = I_f \\omega_f = \\text{Constant}$$\n\n\u672c\u5b9f\u9a13\u3067\u306f\u56de\u8ee2\u3059\u308b\u5186\u677f\u306b\u30ea\u30f3\u30b0\u3092\u843d\u3068\u3057\u3066\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092 $I_i \\to I_f$ \u306b\u5909\u5316\u3055\u305b\u305f\u3068\u304d\u306b\u89d2\u901f\u5ea6\u304c $\\omega_i \\to \\omega_f$ \u3078\u5909\u5316\u3059\u308b\u904e\u7a0b\u3092\u901a\u3058\u3066\u3053\u308c\u3092\u78ba\u8a8d\u3059\u308b\u3002\n\n## 3.5 \u5b9f\u9a13\u7684\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u6e2c\u5b9a\u306e\u539f\u7406\u3068\u5f0f\u306e\u5c0e\u51fa\n\n\u672c\u5b9f\u9a13\u3067\u306f\u56de\u8ee2\u8ef8\uff08\u534a\u5f84 $r$\uff09\u306b\u7cf8\u3092\u5dfb\u304d\u3001\u305d\u306e\u7aef\u306b\u8cea\u91cf $m$ \u306e\u304a\u3082\u308a\u3092\u540a\u308b\u3057\u3066\u81ea\u7531\u843d\u4e0b\u3055\u305b\u308b\u65b9\u6cd5\u3092\u7528\u3044\u308b\u3002\u304a\u3082\u308a\u304c\u91cd\u529b\u3067\u52a0\u901f\u3057\u3066\u843d\u4e0b\u3059\u308b\u969b\u306b\u7cf8\u3092\u5f15\u304d\u3001\u7cf8\u306e\u5f35\u529b $T$ \u304c\u56de\u8ee2\u8ef8\u306b\u30c8\u30eb\u30af\u3092\u751f\u3058\u3055\u305b\u3066\u7cfb\u5168\u4f53\u3092\u56de\u8ee2\u3055\u305b\u308b\u3002\u3053\u306e\u529b\u5b66\u7684\u904e\u7a0b\u3092\u5f0f\u3067\u5206\u89e3\u3059\u308b\u3068\u6b21\u306e\u901a\u308a\u3067\u3042\u308b\u3002\n\n### 3.5.1 \u304a\u3082\u308a\u306e\u4e26\u9032\u904b\u52d5\u65b9\u7a0b\u5f0f\uff08Translational Equation of Motion\uff09\n\n\u843d\u4e0b\u3059\u308b\u8cea\u91cf $m$ \u306e\u304a\u3082\u308a\u306b\u4f5c\u7528\u3059\u308b\u5408\u529b\u306f\u4e0b\u5411\u304d\u306e\u91cd\u529b $mg$ \u3068\u4e0a\u5411\u304d\u306e\u7cf8\u306e\u5f35\u529b $T$ \u3067\u3042\u308b\u3002\u843d\u4e0b\u65b9\u5411\u3092\u6b63\uff08+\uff09\u3068\u3059\u308b\u3068\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u7b2c2\u6cd5\u5247\u306b\u5f93\u3046\u7dda\u52a0\u901f\u5ea6 $a$ \u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002\n\n$$mg - T = ma \\tag{1}$$\n\n### 3.5.2 \u525b\u4f53\u306e\u56de\u8ee2\u904b\u52d5\u65b9\u7a0b\u5f0f\uff08Rotational Equation of Motion\uff09\n\n\u7cf8\u304c\u56de\u8ee2\u8ef8\u306b\u53ca\u307c\u3059\u5f35\u529b $T$ \u306f\u534a\u5f84 $r$ \u306e\u63a5\u7dda\u65b9\u5411\u306b\u4f5c\u7528\u3059\u308b\u305f\u3081\u3001\u5408\u30c8\u30eb\u30af $\\tau$ \u3092\u5f62\u6210\u3059\u308b\u3002\u56de\u8ee2\u4f53\u306e\u7dcf\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092 $I$\u3001\u89d2\u52a0\u901f\u5ea6\u3092 $\\alpha$ \u3068\u3059\u308b\u3068\u30c8\u30eb\u30af\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u901a\u308a\u3067\u3042\u308b\uff08\u5f35\u529b\u306e\u4f5c\u7528\u7dda\u3068\u534a\u5f84\u30d9\u30af\u30c8\u30eb\u306f\u76f4\u4ea4\u3059\u308b\u305f\u3081 $\\sin 90^\\circ = 1$ \u3068\u306a\u308b\uff09\u3002\n\n$$\\tau = r \\times T = rT = I\\alpha \\tag{2}$$\n\n### 3.5.3 \u7dda\u52a0\u901f\u5ea6\u3068\u89d2\u52a0\u901f\u5ea6\u306e\u62d8\u675f\u6761\u4ef6\uff08Kinematic Constraint\uff09\n\n\u7cf8\u304c\u4f38\u3073\u305f\u308a\u56de\u8ee2\u8ef8\u3067\u6ed1\u3063\u305f\u308a\u3057\u306a\u3044\u7406\u60f3\u72b6\u614b\u3092\u60f3\u5b9a\u3059\u308b\u3068\u3001\u304a\u3082\u308a\u306e\u7dda\u52a0\u901f\u5ea6 $a$ \u3068\u56de\u8ee2\u8ef8\u8868\u9762\u306e\u63a5\u7dda\u52a0\u901f\u5ea6\u306f\u5b8c\u5168\u306b\u540c\u4e00\u3067\u3042\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u7dda\u904b\u52d5\u3068\u56de\u8ee2\u904b\u52d5\u306e\u9593\u306b\u306f\u6b21\u306e\u5e7e\u4f55\u5b66\u7684\u95a2\u4fc2\u304c\u6210\u7acb\u3059\u308b\u3002\n\n$$a = r\\alpha \\tag{3}$$\n\n### 3.5.4 \u5f0f\u306e\u5c0e\u51fa\u5c55\u958b\u904e\u7a0b\n\n\u4e0a\u306e\u4e09\u3064\u306e\u5f0f\u3092\u9023\u7acb\u3057\u3066\u3001\u5b9f\u9a13\u7684\u306b\u6c42\u3081\u305f\u3044\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I$ \u306e\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u3002\n\n\u307e\u305a\u5f0f (3) \u306e\u62d8\u675f\u6761\u4ef6 $a = r\\alpha$ \u3092\u5f0f (1) \u306b\u4ee3\u5165\u3057\u3066\u5f35\u529b $T$ \u306b\u3064\u3044\u3066\u6574\u7406\u3059\u308b\u3002\n\n$$mg - T = m(r\\alpha)$$\n\n$$T = m(g - r\\alpha) \\tag{4}$$\n\n\u5f97\u3089\u308c\u305f\u5f35\u529b $T$ \u3092\u56de\u8ee2\u904b\u52d5\u65b9\u7a0b\u5f0f (2) \u306b\u4ee3\u5165\u3059\u308b\u3002\n\n$$r \\cdot \\left[ m(g - r\\alpha) \\right] = I\\alpha$$\n\n\u5de6\u8fba\u306e\u62ec\u5f27\u3092\u5c55\u958b\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002\n\n$$mgr - mr^2\\alpha = I\\alpha$$\n\n\u76ee\u7684\u3067\u3042\u308b\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I$ \u306b\u3064\u3044\u3066\u6574\u7406\u3059\u308b\u305f\u3081\u306b\u4e21\u8fba\u3092\u89d2\u52a0\u901f\u5ea6 $\\alpha$ \u3067\u5272\u308b\u3002\n\n$$I = \\frac{mgr - mr^2\\alpha}{\\alpha} = \\frac{mgr}{\\alpha} - mr^2$$\n\n\u6700\u5f8c\u306b\u5171\u901a\u56e0\u5b50 $mr^2$ \u3092\u62ec\u308a\u51fa\u3059\u3068\u6700\u7d42\u7684\u306a\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5b9f\u9a13\u5f0f\u304c\u5b8c\u6210\u3059\u308b\u3002\n\n$$I = mr^2 \\left( \\frac{g}{r\\alpha} - 1 \\right)$$\n\n\u3053\u306e\u5c0e\u51fa\u3055\u308c\u305f\u6700\u7d42\u5f0f\u3092\u7528\u3044\u308c\u3070\u3001\u5b9f\u9a13\u5ba4\u3067\u76f4\u63a5\u6e2c\u5b9a\u3057\u305f\u5e7e\u4f55\u5b66\u5b9a\u6570\uff08\u304a\u3082\u308a\u306e\u8cea\u91cf $m$\u3001\u56de\u8ee2\u8ef8\u306e\u534a\u5f84 $r$\uff09\u3068\u91cd\u529b\u52a0\u901f\u5ea6 $g$\u3001\u304a\u3088\u3073 SPARKvue \u30c7\u30fc\u30bf\u53ce\u96c6\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306b\u3088\u308a\u7dda\u5f62\u56de\u5e30\u3067\u5f97\u3089\u308c\u305f**\u89d2\u52a0\u901f\u5ea6\uff08Angular Acceleration\uff09** $\\alpha$ \u306e\u5024\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\u8907\u96d1\u306a\u5f62\u72b6\u306e\u525b\u4f53\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I$ \u3092\u5b9a\u91cf\u7684\u306b\u6c7a\u5b9a\u3067\u304d\u308b\u3002\n\n# 4. \u5b9f\u9a13\u65b9\u6cd5\n\n\u672c\u5b9f\u9a13\u306f\u5927\u304d\u304f\u4e8c\u3064\u306e\u90e8\u5206\u306b\u5206\u304b\u308c\u3066\u5b9f\u65bd\u3059\u308b\u3002**\u5b9f\u9a13 A** \u3067\u306f\u843d\u4e0b\u3059\u308b\u304a\u3082\u308a\u3092\u7528\u3044\u3066\u5186\u677f\u3068\u30ea\u30f3\u30b0\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u6e2c\u5b9a\u3057\u3001**\u5b9f\u9a13 B** \u3067\u306f\u56de\u8ee2\u3059\u308b\u5186\u677f\u306b\u30ea\u30f3\u30b0\u3092\u843d\u3068\u3057\u3066\u89d2\u904b\u52d5\u91cf\u304c\u4fdd\u5b58\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3002\n\n## 4.1 \u5b9f\u9a13 A \u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u6e2c\u5b9a (Measurement of Moment of Inertia)\n\n\"null\"<\/p>\n

1. **\u56de\u8ee2\u88c5\u7f6e\u306e\u8a2d\u7f6e**: [\u56f33] \u306e\u3088\u3046\u306b\u56de\u8ee2\u30b9\u30bf\u30f3\u30c9\u3092\u8a2d\u7f6e\u3057\u3001\u5186\u677f\uff08Rotational Disk\uff09\u3092\u56de\u8ee2\u8ef8\u306b\u53d6\u308a\u4ed8\u3051\u308b\u3002\u6c34\u5e73\u5668\uff08Leveler\uff09\u3092\u4f7f\u3063\u3066\u56de\u8ee2\u30b9\u30bf\u30f3\u30c9\u3068\u5186\u677f\u306e\u6c34\u5e73\u3092\u6b63\u78ba\u306b\u5408\u308f\u305b\u308b\u3002<\/p>\n

2. **\u30b9\u30de\u30fc\u30c8\u30b2\u30fc\u30c8\u306e\u8a2d\u5b9a**: \u30b9\u30de\u30fc\u30c8\u30b2\u30fc\u30c8\uff08Smart Gate\uff09\u3092\u56de\u8ee2\u30b9\u30bf\u30f3\u30c9\u306b\u56fa\u5b9a\u3059\u308b\u3002\u3053\u306e\u3068\u304d\u30b9\u30de\u30fc\u30c8\u30b2\u30fc\u30c8\u306e\u30bb\u30f3\u30b5\u304c\u56de\u8ee2\u8ef8\u306b\u53d6\u308a\u4ed8\u3051\u3089\u308c\u305f\u6ed1\u8eca\uff08Pulley\uff09\u306e\u6e9d\uff08Spoke\uff09\u3092\u6b63\u78ba\u306b\u691c\u51fa\u3067\u304d\u308b\u3088\u3046\u306b\u4f4d\u7f6e\u3092\u8abf\u6574\u3059\u308b\u3002<\/p>\n

3. **\u57fa\u790e\u30c7\u30fc\u30bf\u306e\u6e2c\u5b9a**: \u304a\u3082\u308a\u3068\u304a\u3082\u308a\u30cf\u30f3\u30ac\u30fc\u306e\u5408\u8a08\u8cea\u91cf $m$ \u3092\u96fb\u5b50\u306f\u304b\u308a\u3067\u6e2c\u5b9a\u3057\u3001\u7cf8\u304c\u5dfb\u304b\u308c\u308b\u56de\u8ee2\u8ef8\u306e\u534a\u5f84 $r$ \u3092\u30ce\u30ae\u30b9\uff08Vernier Calipers\uff09\u3067\u7cbe\u5bc6\u306b\u6e2c\u5b9a\u3059\u308b\u3002<\/p>\n

4. **\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u6e96\u5099**: SPARKvue \u30a2\u30d7\u30ea\u3092\u8d77\u52d5\u3057\u3001**[Smart Gate Only]** -> [Smart Pulley (Rotational)] \u3092\u9078\u629e\u3059\u308b\u3002**Spoke Angle** \u3092 $36^\\circ$\uff08\u307e\u305f\u306f\u88c5\u7f6e\u306b\u5408\u308f\u305b\u305f\u5024\uff09\u306b\u8a2d\u5b9a\u3057\u3001\u6e2c\u5b9a\u7269\u7406\u91cf\u3068\u3057\u3066 **Velocity** \u3068 **Acceleration** \u3092\u9078\u629e\u3059\u308b\u3002<\/p>\n

5. **\u5186\u677f\u306e\u89d2\u52a0\u901f\u5ea6\u6e2c\u5b9a**: \u7cf8\u3092\u56de\u8ee2\u8ef8\u306b\u5dfb\u304d\u3064\u3051\u3066\u304a\u3082\u308a\u3092\u843d\u3068\u3059\u969b\u306e\u89d2\u901f\u5ea6\u3092\u6e2c\u5b9a\u3059\u308b\u3002\u30c7\u30fc\u30bf\u30b0\u30e9\u30d5\u4e0a\u3067\u89d2\u52a0\u901f\u5ea6 $\\alpha$ \u304c\u4e00\u5b9a\u306e\u533a\u9593\u3092\u9078\u3073\u7dda\u5f62\u56de\u5e30\uff08Linear Fit\uff09\u3092\u884c\u3044\u3001\u305d\u306e\u50be\u304d\u3092\u8a18\u9332\u3059\u308b\u3002<\/p>\n

\"\"<\/p>\n

6. **\u7e70\u308a\u8fd4\u3057\u6e2c\u5b9a**: \u624b\u98065\u3092\u5408\u8a085\u56de\u7e70\u308a\u8fd4\u3057\u3066\u5186\u677f\u306e\u5e73\u5747\u89d2\u52a0\u901f\u5ea6\u3092\u6c42\u3081\u3001\u3053\u308c\u306b\u3088\u308a $I_{disk}$ \u3092\u8a08\u7b97\u3059\u308b\u3002<\/p>\n

7. **\u30ea\u30f3\u30b0\uff08Mass Ring\uff09\u3092\u8ffd\u52a0**: \u5186\u677f\u306e\u4e0a\u306b\u30ea\u30f3\u30b0\u3092\u8f09\u305b\u3066\u624b\u98065\u301c6\u3092\u7e70\u308a\u8fd4\u3059\u3002\u3053\u306e\u3068\u304d\u6e2c\u5b9a\u3055\u308c\u308b\u5024\u306f\u5186\u677f\u3068\u30ea\u30f3\u30b0\u306e\u5408\u6210\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I_{total}$ \u306b\u5bfe\u5fdc\u3057\u3001\u5148\u306b\u6c42\u3081\u305f $I_{disk}$ \u3092\u5dee\u3057\u5f15\u3044\u3066 $I_{ring}$ \u306e\u5b9f\u9a13\u5024\u3092\u5c0e\u51fa\u3059\u308b\u3002<\/p>\n

## 4.2 \u5b9f\u9a13 B \u89d2\u904b\u52d5\u91cf\u4fdd\u5b58\uff08Conservation of Angular Momentum\uff09<\/p>\n

1. **\u88c5\u7f6e\u306e\u518d\u914d\u7f6e**: \u5b9f\u9a13 A \u3067\u4f7f\u7528\u3057\u305f\u7cf8\u3068\u304a\u3082\u308a\u3092\u53d6\u308a\u5916\u3059\u3002\u7cfb\u306f\u5916\u90e8\u30c8\u30eb\u30af\u304c\u5b58\u5728\u3057\u306a\u3044\u81ea\u7531\u56de\u8ee2\u72b6\u614b\u3067\u3042\u308b\u3079\u304d\u3067\u3042\u308b\u3002<\/p>\n

2. **\u521d\u671f\u56de\u8ee2\u3068\u8a08\u6e2c\u958b\u59cb**: \u5186\u677f\u3092\u624b\u3067\u8efd\u304f\u56de\u3057\u3066\u56de\u8ee2\u3055\u305b\u3001SPARKvue \u306e\u8a08\u6e2c\uff08Start\uff09\u30dc\u30bf\u30f3\u3092\u62bc\u3059\u3002<\/p>\n

3. **\u521d\u671f\u89d2\u901f\u5ea6\uff08$\\omega_1$\uff09\u306e\u6e2c\u5b9a**: \u5186\u677f\u304c\u5b89\u5b9a\u3057\u3066\u56de\u8ee2\u3057\u3066\u3044\u308b\u3068\u304d\u3001\u30ea\u30f3\u30b0\u3092\u843d\u3068\u3059\u76f4\u524d\u306e\u89d2\u901f\u5ea6 $\\omega_1$ \u3092\u8a18\u9332\u3059\u308b\u3002<\/p>\n

4. **\u30ea\u30f3\u30b0\u6295\u4e0b**: \u5186\u677f\u306e\u56de\u8ee2\u8ef8\u306b\u5408\u308f\u305b\u3066\u30ea\u30f3\u30b0\u3092\u614e\u91cd\u306b\u843d\u3068\u3059\u3002\u3053\u306e\u3068\u304d\u30ea\u30f3\u30b0\u304c\u5186\u677f\u306e\u4e2d\u5fc3\u306b\u6b63\u78ba\u306b\u88c5\u7740\u3055\u308c\u308b\u3088\u3046\u6ce8\u610f\u3059\u308b\u3002<\/p>\n

5. **\u5f8c\u306e\u89d2\u901f\u5ea6\uff08$\\omega_2$\uff09\u306e\u6e2c\u5b9a**: \u30ea\u30f3\u30b0\u304c\u88c5\u7740\u3055\u308c\u305f\u5f8c\u3001\u5186\u677f\u3068\u30ea\u30f3\u30b0\u304c\u4e00\u7dd2\u306b\u56de\u8ee2\u3057\u3066\u5b89\u5b9a\u3057\u305f\u72b6\u614b\u306e\u89d2\u901f\u5ea6 $\\omega_2$ \u3092\u8a18\u9332\u3059\u308b\u3002<\/p>\n

6. **\u30c7\u30fc\u30bf\u89e3\u6790**: \u6e2c\u5b9a\u3057\u305f $\\omega_1, \\omega_2$ \u3068\u5b9f\u9a13 A \u3067\u5f97\u305f $I_{disk}, I_{total}$ \u3092\u7528\u3044\u3066\u885d\u7a81\u524d\u5f8c\u306e\u89d2\u904b\u52d5\u91cf $L_1, L_2$ \u3092\u8a08\u7b97\u3057\u3001\u4fdd\u5b58\u306e\u6709\u7121\u3092\u78ba\u8a8d\u3059\u308b\u3002<\/p>\n

7. **\u7e70\u308a\u8fd4\u3057\u6e2c\u5b9a**: \u624b\u98062\u301c6 \u3092\u5408\u8a085\u56de\u7e70\u308a\u8fd4\u3057\u3066\u30c7\u30fc\u30bf\u306e\u4fe1\u983c\u6027\u3092\u78ba\u4fdd\u3059\u308b\u3002<\/p>\n

# 5. \u5b9f\u9a13\u7d50\u679c<\/p>\n

## 5.1 \u5b9f\u9a13\u57fa\u672c\u8af8\u5143\uff08Constants\uff09<\/p>\n

\u5b9f\u9a13 A \u304a\u3088\u3073 B \u306e\u8a08\u7b97\u306b\u5171\u901a\u3057\u3066\u7528\u3044\u305f\u5e7e\u4f55\u5b66\u5b9a\u6570\u304a\u3088\u3073\u8cea\u91cf\u306e\u6e2c\u5b9a\u5024\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3002<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n
\u30d1\u30e9\u30e1\u30fc\u30bf (Parameter)<\/strong><\/th>\n\u8a18\u53f7 (Symbol)<\/strong><\/th>\n\u6e2c\u5b9a\u5024 (Value)<\/strong><\/th>\n\u5358\u4f4d (Unit)<\/strong><\/th>\n<\/tr>\n<\/thead>\n
\u304a\u3082\u308a\u306e\u8cea\u91cf<\/strong> (Hanging Mass)<\/td>\n$m$<\/td>\n0.145<\/td>\n$\\text{kg}$<\/td>\n<\/tr>\n
\u56de\u8ee2\u8ef8\u534a\u5f84<\/strong> (Axle Radius)<\/td>\n$r$<\/td>\n0.0115<\/td>\n$\\text{m}$<\/td>\n<\/tr>\n
\u5186\u677f\u8cea\u91cf<\/strong> (Disk Mass)<\/td>\n$M_{disk}$<\/td>\n1.427<\/td>\n$\\text{kg}$<\/td>\n<\/tr>\n
\u5186\u677f\u534a\u5f84<\/strong> (Disk Radius)<\/td>\n$R_{disk}$<\/td>\n0.1145<\/td>\n$\\text{m}$<\/td>\n<\/tr>\n
\u30ea\u30f3\u30b0\u8cea\u91cf<\/strong> (Ring Mass)<\/td>\n$M_{ring}$<\/td>\n1.441<\/td>\n$\\text{kg}$<\/td>\n<\/tr>\n
\u30ea\u30f3\u30b0\u5185\u5f84<\/strong> (Ring Inner Radius)<\/td>\n$R_1$<\/td>\n0.054<\/td>\n$\\text{m}$<\/td>\n<\/tr>\n
\u30ea\u30f3\u30b0\u5916\u5f84<\/strong> (Ring Outer Radius)<\/td>\n$R_2$<\/td>\n0.0635<\/td>\n$\\text{m}$<\/td>\n<\/tr>\n
\u91cd\u529b\u52a0\u901f\u5ea6<\/strong> (Gravity)<\/td>\n$g$<\/td>\n9.8<\/td>\n$\\text{m\/s}^2$<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

## 5.2 \u5b9f\u9a13 A \u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u6e2c\u5b9a\uff08Rotational Inertia\uff09<\/p>\n

### 5.2.1 \u6e2c\u5b9a\u30c7\u30fc\u30bf\u304a\u3088\u3073\u5b9f\u9a13\u5024\u306e\u8a08\u7b97<\/p>\n

\u5186\u677f\u5358\u72ec\u56de\u8ee2\u3068\u5186\u677f\uff0b\u30ea\u30f3\u30b0\u306e\u91cd\u306d\u56de\u8ee2\u306b\u5bfe\u3057\u3066\u3001\u305d\u308c\u305e\u308c5\u56de\u305a\u3064\u304a\u3082\u308a\u3092\u843d\u4e0b\u3055\u305b\u3066\u89d2\u52a0\u901f\u5ea6 $\\alpha$ \u3092\u6e2c\u5b9a\u3057\u305f\u3002\u5b9f\u9a13\u7684\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u5f0f $I = mr^2 (\\frac{g}{r\\alpha} - 1)$ \u3092\u7528\u3044\u3066\u5c0e\u51fa\u3057\u305f\u3002\u30ea\u30f3\u30b0\u5358\u4f53\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5b9f\u9a13\u5024\u306f\u5408\u6210\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u304b\u3089\u5186\u677f\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u5dee\u3057\u5f15\u3044\u3066\uff08$I_{ring} = I_{total} - I_{disk}$\uff09\u8a08\u7b97\u3057\u305f\u3002<\/p>\n\n\n\n\n\n\n\n\n\n\n
\u8a66\u884c (Trial)<\/strong><\/th>\n\u5186\u677f $\\alpha$ (rad\/s^2)<\/strong><\/th>\n\u5186\u677f $I_{disk}$ (kg \\cdot m^2)<\/strong><\/th>\n\u5186\u677f+\u30ea\u30f3\u30b0 $\\alpha$ (rad\/s^2)<\/strong><\/th>\n\u5408\u6210\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I_{total}$ (kg \\cdot m^2)<\/strong><\/th>\n<\/tr>\n<\/thead>\n
Trial 1<\/strong><\/td>\n1.860<\/td>\n0.008767<\/td>\n1.210<\/td>\n0.013486<\/td>\n<\/tr>\n
Trial 2<\/strong><\/td>\n1.850<\/td>\n0.008814<\/td>\n1.210<\/td>\n0.013486<\/td>\n<\/tr>\n
Trial 3<\/strong><\/td>\n1.850<\/td>\n0.008814<\/td>\n1.220<\/td>\n0.013375<\/td>\n<\/tr>\n
Trial 4<\/strong><\/td>\n1.850<\/td>\n0.008814<\/td>\n1.210<\/td>\n0.013486<\/td>\n<\/tr>\n
Trial 5<\/strong><\/td>\n1.850<\/td>\n0.008767<\/td>\n1.210<\/td>\n0.013486<\/td>\n<\/tr>\n
\u5e73\u5747 (AVERAGE)<\/strong><\/td>\n1.8525<\/strong><\/td>\n0.008795<\/strong><\/td>\n1.2120<\/strong><\/td>\n0.013464<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

### 5.2.2 \u8aa4\u5dee\u89e3\u6790\uff08Error Analysis Summary\uff09<\/p>\n

\u5186\u677f\u3068\u30ea\u30f3\u30b0\u306e\u7406\u8ad6\u7684\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u305d\u308c\u305e\u308c $I_{disk} = \\frac{1}{2}MR^2$, $I_{ring} = \\frac{1}{2}M(R_1^2 + R_2^2)$ \u306e\u5f0f\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u3001\u3053\u308c\u3092\u5b9f\u9a13\u5e73\u5747\u5024\u3068\u6bd4\u8f03\u3057\u305f\u3002<\/p>\n\n\n\n\n\n\n
\u9805\u76ee (Item)<\/strong><\/th>\n\u5b9f\u9a13\u5024 $I_{exp}$ (kg \\cdot m^2)<\/strong><\/th>\n\u7406\u8ad6\u5024 $I_{theo}$ (kg \\cdot m^2)<\/strong><\/th>\n\u76f8\u5bfe\u8aa4\u5dee\u7387 (\\%)<\/strong><\/th>\n<\/tr>\n<\/thead>\n
\u5186\u677f (Disk Only)<\/strong><\/td>\n0.008795<\/td>\n0.009354<\/td>\n5.977<\/strong><\/td>\n<\/tr>\n
\u30ea\u30f3\u30b0 (Mass Ring)<\/strong><\/td>\n0.004669<\/td>\n0.005006<\/td>\n6.736<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

_\u203b \u30ea\u30f3\u30b0\u306e\u5b9f\u9a13\u5024 $I_{ring}$ \u306f\uff08\u5408\u6210\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u5e73\u5747 0.013464\uff09 -\uff08\u5186\u677f\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u5e73\u5747 0.008795\uff09= 0.004669 \u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u308b\u3002_<\/p>\n

## 5.3 \u5b9f\u9a13 B \u89d2\u904b\u52d5\u91cf\u4fdd\u5b58\uff08Conservation of Angular Momentum\uff09<\/p>\n

\u56de\u8ee2\u3059\u308b\u5186\u677f\u4e0a\u306b\u30ea\u30f3\u30b0\u3092\u843d\u3068\u3059\u5b8c\u5168\u975e\u5f3e\u6027\u885d\u7a81\u5b9f\u9a13\u30925\u56de\u7e70\u308a\u8fd4\u3057\u305f\u3002\u885d\u7a81\u524d\u306e\u521d\u671f\u89d2\u904b\u52d5\u91cf $L_1 = I_{disk} \\cdot \\omega_1$ \u3068\u885d\u7a81\u5f8c\u306e\u5f8c\u306e\u89d2\u904b\u52d5\u91cf $L_2 = I_{total} \\cdot \\omega_2$ \u3092\u8a08\u7b97\u3057\u3066\u4e21\u8005\u306e\u5dee\u3092\u78ba\u8a8d\u3057\u305f\u3002<\/p>\n

\uff08\u6ce8\u610f\uff1a\u89d2\u904b\u52d5\u91cf\u306e\u8a08\u7b97\u306b\u7528\u3044\u305f\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I$ \u306f\u5b9f\u9a13 A \u3067\u6c42\u3081\u305f\u5b9f\u9a13\u5e73\u5747\u5024\u3092\u9069\u7528\u3057\u3066\u3044\u308b\u3002\uff09<\/p>\n\n\n\n\n\n\n\n\n\n\n
\u8a66\u884c (Trial)<\/strong><\/th>\n\u521d\u671f $\\omega_1$ (rad\/s)<\/strong><\/th>\n\u5f8c\u306e $\\omega_2$ (rad\/s)<\/strong><\/th>\n\u521d\u671f $L_1$ (kg \\cdot m^2\/s)<\/strong><\/th>\n\u5f8c\u306e $L_2$ (kg \\cdot m^2\/s)<\/strong><\/th>\n\u8aa4\u5dee\u7387 (\\%)<\/strong><\/th>\n<\/tr>\n<\/thead>\n
Trial 1<\/strong><\/td>\n8.730<\/td>\n5.620<\/td>\n0.076781<\/td>\n0.075668<\/td>\n1.450<\/td>\n<\/tr>\n
Trial 2<\/strong><\/td>\n12.200<\/td>\n7.920<\/td>\n0.107300<\/td>\n0.106635<\/td>\n0.619<\/td>\n<\/tr>\n
Trial 3<\/strong><\/td>\n13.900<\/td>\n9.120<\/td>\n0.122251<\/td>\n0.122792<\/td>\n0.442<\/td>\n<\/tr>\n
Trial 4<\/strong><\/td>\n14.700<\/td>\n9.460<\/td>\n0.129288<\/td>\n0.127370<\/td>\n1.483<\/td>\n<\/tr>\n
Trial 5<\/strong><\/td>\n15.500<\/td>\n10.400<\/td>\n0.136324<\/td>\n0.140026<\/td>\n2.716<\/td>\n<\/tr>\n
\u5e73\u5747 (AVERAGE)<\/strong><\/td>\n13.006<\/strong><\/td>\n8.504<\/strong><\/td>\n0.114389<\/strong><\/td>\n0.114498<\/strong><\/td>\n1.342<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

_\u203b \u8aa4\u5dee\u7387\u306e\u8a08\u7b97\u5f0f: $\\delta = \\frac{\\|L_1 - L_2\\|}{L_1} \\times 100 \\%$_<\/p>\n

# 6. \u5206\u6790\u304a\u3088\u3073\u8003\u5bdf<\/p>\n

\"\"<\/p>\n

\u672c\u89e3\u6790\u3067\u306f\u5b9f\u9a13 A\uff08\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u6e2c\u5b9a\uff09\u3068\u5b9f\u9a13 B\uff08\u89d2\u904b\u52d5\u91cf\u4fdd\u5b58\uff09\u306e\u6e2c\u5b9a\u5024\u3068\u7406\u8ad6\u5024\u3092\u5b9a\u91cf\u7684\u304b\u3064\u8996\u899a\u7684\u306b\u6bd4\u8f03\u3059\u308b\u305f\u3081\u306b Python \u30d9\u30fc\u30b9\u306e\u30c7\u30fc\u30bf\u89e3\u6790\u304a\u3088\u3073\u53ef\u8996\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u7528\u3044\u305f\u3002\u3053\u308c\u306b\u3088\u308a\u7d76\u5bfe\u7684\u306a\u7269\u7406\u91cf\u306e\u6bd4\u8f03\uff08\u68d2\u30b0\u30e9\u30d5\uff09\u3068\u76f8\u5bfe\u8aa4\u5dee\u306e\u5909\u52d5\u50be\u5411\uff08\u6298\u308c\u7dda\u30b0\u30e9\u30d5\uff09\u3092\u4e8c\u8ef8\uff08Dual-axis\uff09\u30b3\u30f3\u30dc\u30c1\u30e3\u30fc\u30c8\u3067\u5b9f\u88c5\u3057\u3001\u30c7\u30fc\u30bf\u306e\u4fe1\u983c\u6027\u3068\u7cfb\u7d71\u8aa4\u5dee\u3092\u76f4\u611f\u7684\u306b\u89e3\u6790\u3057\u305f\u3002<\/p>\n

\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5b9f\u9a13\u5024 $I_{exp}$ \u3068\u7406\u8ad6\u5024 $I_{theo}$ \u306e\u9593\u306e\u76f8\u5bfe\u8aa4\u5dee\u7387 $\\delta_I$\u3001\u304a\u3088\u3073\u885d\u7a81\u524d\u5f8c\u306e\u89d2\u904b\u52d5\u91cf\u8aa4\u5dee\u7387 $\\delta_L$ \u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3057\u3066\u89e3\u6790\u306b\u9069\u7528\u3057\u305f\u3002<\/p>\n

$$\\delta_I(\\%) = \\frac{|I_{exp} - I_{theo}|}{I_{theo}} \\times 100\\%, \\qquad \\delta_L(\\%) = \\frac{|L_1 - L_2|}{L_1} \\times 100\\%$$<\/p>\n

## 6.1 \u5b9f\u9a13 A: \u5186\u677f\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u7cbe\u5bc6\u6bd4\u8f03\uff08Disk Only\uff09<\/p>\n

\u6700\u521d\u306e\u30b0\u30e9\u30d5\u306f\u5186\u677f\uff08Disk\uff09\u5358\u72ec\u56de\u8ee2\u5b9f\u9a13\u306e5\u56de\u306e\u8a66\u884c\u3067\u6e2c\u5b9a\u3057\u305f\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5b9f\u9a13\u5024\u3068\u5e7e\u4f55\u5b66\u7684\u8af8\u5143\u306b\u57fa\u3065\u304f\u7406\u8ad6\u5024\u3092\u6bd4\u8f03\u3057\u305f\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n

\"\"<\/p>\n

\u30b0\u30e9\u30d5\u3092\u89e3\u6790\u3059\u308b\u3068\u30015\u56de\u306e\u5404\u8a66\u884c\u306b\u304a\u3044\u3066\u6e2c\u5b9a\u3055\u308c\u305f\u5b9f\u9a13\u5024\uff08\u9752\u3044\u68d2\uff09\u306f\u7406\u8ad6\u5024\uff08\u30aa\u30ec\u30f3\u30b8\u306e\u68d2\uff09\u3088\u308a\u308f\u305a\u304b\u306b\u4f4e\u304f\u51fa\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u305d\u306e\u7d50\u679c\u3001\u8d64\u3044\u70b9\u7dda\u3067\u8868\u793a\u3055\u308c\u305f\u76f8\u5bfe\u8aa4\u5dee\u7387\u306f\u7d04 **5.97%** \u524d\u5f8c\u3067\u975e\u5e38\u306b\u4e00\u8cab\u3057\u3066\u3044\u308b\u3002<\/p>\n

\u30c7\u30fc\u30bf\u306e\u6563\u3089\u3070\u308a\uff08\u5909\u52d5\u6027\uff09\u304c\u975e\u5e38\u306b\u5c0f\u3055\u3044\u3053\u3068\u306f\u3001\u5b9f\u9a13\u8005\u306b\u3088\u308b\u843d\u4e0b\u64cd\u4f5c\u3084 SPARKvue \u3092\u7528\u3044\u305f\u89d2\u52a0\u901f\u5ea6 $\\alpha$ \u6e2c\u5b9a\u3001\u7dda\u5f62\u56de\u5e30\u51e6\u7406\u304c\u975e\u5e38\u306b\u7cbe\u5bc6\u306b\u5b9f\u884c\u3055\u308c\u305f\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3053\u306e\u7d046% \u306e\u5dee\u306f\u30e9\u30f3\u30c0\u30e0\u8aa4\u5dee\u3067\u306f\u306a\u304f\u3001\u5b9f\u9a13\u88c5\u7f6e\u81ea\u4f53\u306e\u69cb\u9020\u7684\u8981\u56e0\u306b\u3088\u308b**\u7cfb\u7d71\u8aa4\u5dee\uff08Systematic Error\uff09** \u3068\u89e3\u91c8\u3059\u308b\u306e\u304c\u59a5\u5f53\u3067\u3042\u308b\u3002<\/p>\n

## 6.2 \u5b9f\u9a13 A: \u30ea\u30f3\u30b0\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u7cbe\u5bc6\u6bd4\u8f03\uff08Mass Ring\uff09<\/p>\n

\u4e8c\u756a\u76ee\u306e\u30b0\u30e9\u30d5\u306f\u5186\u677f\u3068\u30ea\u30f3\u30b0\u304c\u7d50\u5408\u3055\u308c\u305f\u72b6\u614b\u3067\u6e2c\u5b9a\u3057\u305f\u5408\u6210\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I_{total}$ \u304b\u3089\u5186\u677f\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8 $I_{disk}$ \u3092\u5dee\u3057\u5f15\u3044\u3066\u5f97\u305f\u30ea\u30f3\u30b0\u5358\u4f53\u306e\u5b9f\u9a13\u5024\u3068\u7406\u8ad6\u5024\u3092\u6bd4\u8f03\u3057\u305f\u7d50\u679c\u3067\u3042\u308b\u3002<\/p>\n

\"\"<\/p>\n

\u30ea\u30f3\u30b0\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u8aa4\u5dee\u7387\u3082\u7d04 **6.73%** \u3067\u3042\u308a\u3001\u5186\u677f\u5b9f\u9a13\u3068\u540c\u69d8\u306e\u50be\u5411\u3068\u5b89\u5b9a\u3057\u305f\u8aa4\u5dee\u7bc4\u56f2\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u5b9f\u9a13 A \u5168\u4f53\u3067\u5b9f\u9a13\u5024\u304c\u7406\u8ad6\u5024\u3088\u308a\u7d046% \u5c0f\u3055\u304f\u7b97\u51fa\u3055\u308c\u305f\uff08$I_{exp} < I_{theo}$\uff09\u539f\u56e0\u306f\u6b21\u306e\u4e8c\u70b9\u3067\u6df1\u304f\u5206\u6790\u3067\u304d\u308b\u3002\n\n1. **\u7cf8\u306e\u539a\u3055\u306b\u3088\u308b\u6709\u52b9\u534a\u5f84\uff08Effective Radius\uff09\u306e\u5897\u52a0:**\n\n\u5b9f\u9a13\u5f0f $I = mr^2 (\\frac{g}{r\\alpha} - 1)$ \u306b\u304a\u3051\u308b\u56de\u8ee2\u8ef8\u534a\u5f84 $r$ \u306f\u4e8c\u4e57\u3067\u5bc4\u4e0e\u3059\u308b\u305f\u3081\u7d50\u679c\u306b\u5927\u304d\u304f\u5f71\u97ff\u3059\u308b\u3002\u6211\u3005\u304c\u4ee3\u5165\u3057\u305f $r = 0.0115\\,\\text{m}$ \u306f\u7cf8\u304c\u5dfb\u304b\u308c\u3066\u3044\u306a\u3044\u7d20\u306e\u8ef8\u306e\u534a\u5f84\u3067\u3042\u308b\u3002\u3057\u304b\u3057\u5b9f\u969b\u306b\u306f\u8ef8\u306b\u5dfb\u304b\u308c\u305f\u7cf8\u306e\u539a\u307f\uff08$r_{string}$\uff09\u3084\u91cd\u306a\u308a\u306b\u3088\u308a\u30c8\u30eb\u30af\u304c\u4f5c\u7528\u3059\u308b\u5b9f\u52b9\u534a\u5f84\u306f $r_{eff} = r + r_{string}\/2$ \u306e\u3088\u3046\u306b\u308f\u305a\u304b\u306b\u5927\u304d\u304f\u306a\u308b\u3002\u5f0f\u306b\u5b9f\u969b\u3088\u308a\u5c0f\u3055\u3044 $r$ \u3092\u7528\u3044\u305f\u305f\u3081\u5b9f\u9a13\u3067\u5f97\u3089\u308c\u308b\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u7406\u8ad6\u5024\u3088\u308a\u5c0f\u3055\u304f\u51fa\u308b\u3002\n\n2. **\u525b\u4f53\u306e\u7406\u60f3\u7684\u8cea\u91cf\u5206\u5e03\u4eee\u5b9a\u306e\u9650\u754c:**\n\n$0.5MR^2$ \u7b49\u306e\u5f0f\u306f\u525b\u4f53\u304c\u5b8c\u5168\u306b\u4e00\u69d8\u306a\u9023\u7d9a\u4f53\u3067\u3042\u308b\u3053\u3068\u3092\u4eee\u5b9a\u3057\u3066\u3044\u308b\u3002\u5b9f\u9a13\u7528\u306e\u5186\u677f\u3084\u30ea\u30f3\u30b0\u306f\u53d6\u308a\u4ed8\u3051\u7528\u306e\u4e2d\u592e\u306e\u6e9d\u3084\u30d4\u30f3\u3001\u6750\u6599\u306e\u6469\u8017\u7b49\u306b\u3088\u308a\u8cea\u91cf\u5206\u5e03\u304c\u5b8c\u5168\u306b\u4e00\u69d8\u3067\u306a\u3044\u3053\u3068\u304c\u3042\u308a\u3001\u3053\u308c\u304c\u7406\u8ad6\u5024\u3068\u306e\u5dee\u3092\u751f\u3058\u3055\u305b\u308b\u3002\n\n## 6.3 \u5b9f\u9a13 B: \u89d2\u904b\u52d5\u91cf\u4fdd\u5b58\u306e\u7dcf\u5408\u5206\u6790\uff08Conservation of Angular Momentum\uff09\n\n\u4e09\u756a\u76ee\u306e\u30b0\u30e9\u30d5\u306f\u5916\u529b\u304c\u906e\u65ad\u3055\u308c\u305f\u72b6\u614b\u3067\u56de\u8ee2\u3059\u308b\u5186\u677f\u306b\u30ea\u30f3\u30b0\u3092\u843d\u3068\u3059\u5b8c\u5168\u975e\u5f3e\u6027\u885d\u7a81\u5b9f\u9a13\u306b\u304a\u3051\u308b\u885d\u7a81\u524d\u5f8c\u306e\u89d2\u904b\u52d5\u91cf\uff08$L_1$, $L_2$\uff09\u306e\u5909\u5316\u3092\u793a\u3059\u3002\n\n\"\"<\/p>\n

\u3053\u306e\u30c1\u30e3\u30fc\u30c8\u306f\u672c\u5b9f\u9a13\u306e\u767d\u7709\u3067\u3042\u308a\u3001\u68d2\u30b0\u30e9\u30d5\u3092\u898b\u308b\u30685\u56de\u306e\u8a66\u884c\u3059\u3079\u3066\u3067\u521d\u671f\u89d2\u904b\u52d5\u91cf $L_1$ \u3068\u5f8c\u306e\u89d2\u904b\u52d5\u91cf $L_2$ \u306e\u9ad8\u3055\u304c\u307b\u307c\u5b8c\u5168\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\u3002\u53f3\u8ef8\u57fa\u6e96\u306e\u8aa4\u5dee\u7387\uff08Difference\uff09\u6298\u308c\u7dda\u306f\u6700\u5c0f 0.44% \u304b\u3089\u6700\u5927 2.71% \u3092\u8a18\u9332\u3057\u3001**\u5e73\u5747 1.34%** \u3068\u3044\u3046\u9a5a\u304f\u3079\u304d\u7cbe\u5ea6\u3092\u793a\u3057\u3066\u3044\u308b\u3002<\/p>\n

\u3053\u308c\u306f\u89d2\u901f\u5ea6\u304c $\\omega_1$ \u304b\u3089 $\\omega_2$ \u306b\u6025\u6fc0\u306b\u4f4e\u4e0b\u3057\u3066\u3044\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5897\u52a0\uff08$I_{disk} \\to I_{total}$\uff09\u304c\u3053\u308c\u3092\u6b63\u78ba\u306b\u76f8\u6bba\u3057\u3066 $I_{disk}\\omega_1 = I_{total}\\omega_2$ \u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u3092\u6570\u5024\u7684\u306b\u8a3c\u660e\u3057\u3066\u3044\u308b\u3002<\/p>\n

\u305f\u3060\u3057\u5fae\u5c0f\u306a\u6b8b\u5dee\uff08\u7d04 1.3%\uff09\u304c\u767a\u751f\u3059\u308b\u539f\u56e0\u3068\u3057\u3066\u306f\u6b21\u304c\u8003\u3048\u3089\u308c\u308b\u3002<\/p>\n

- **\u6469\u64e6\u30c8\u30eb\u30af\uff08Frictional Torque\uff09:** \u30ea\u30f3\u30b0\u3092\u843d\u3068\u3057\u3066\u901f\u5ea6\u304c\u518d\u3073\u5b89\u5b9a\u5316\uff08$\\omega_2$\uff09\u3059\u308b\u307e\u3067\u306e\u77ed\u6642\u9593\u306e\u9593\u306b\u30d9\u30a2\u30ea\u30f3\u30b0\u306e\u6469\u64e6\u3084\u7a7a\u6c17\u62b5\u6297\u304c\u7cfb\u306b\u8ca0\u306e\u5408\u30c8\u30eb\u30af\u3068\u3057\u3066\u4f5c\u7528\u3057\u3001\u89d2\u904b\u52d5\u91cf\u3092\u308f\u305a\u304b\u306b\u6e1b\u5c11\u3055\u305b\u308b\u3002<\/p>\n

- **\u6295\u4e0b\u6642\u306e\u4e2d\u5fc3\u8ef8\u504f\u5dee:** \u30ea\u30f3\u30b0\u3092\u843d\u3068\u3059\u969b\u306b\u5b8c\u5168\u306b\u4e2d\u5fc3\u306b\u8f09\u3089\u305a\u4e2d\u5fc3\u304b\u3089\u8ddd\u96e2 $d$ \u3060\u3051\u305a\u308c\u308b\u3068\u3001\u5e73\u884c\u8ef8\u306e\u5b9a\u7406\uff08$I = I_{cm} + Md^2$\uff09\u306b\u3088\u308a\u5f8c\u306e\u6709\u52b9\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u304c\u4e88\u60f3\u3088\u308a\u5927\u304d\u304f\u306a\u308a\u3001\u89d2\u901f\u5ea6\u5909\u52d5\u306b\u5fae\u5c0f\u306a\u8aa4\u5dee\u3092\u751f\u3058\u3055\u305b\u308b\u3002<\/p>\n

## 6.4 \u7dcf\u5408\u7d50\u8ad6<\/p>\n

\u672c\u5b9f\u9a13\u306b\u3088\u308a\u6b21\u306e\u529b\u5b66\u7684\u539f\u7406\u3092\u691c\u8a3c\u3057\u305f\u3002<\/p>\n

1. \u525b\u4f53\u306e\u8cea\u91cf\u304a\u3088\u3073\u5e7e\u4f55\u5b66\u7684\u5206\u5e03\uff08\u534a\u5f84\uff09\u304c\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u6c7a\u5b9a\u3059\u308b\u4e3b\u8981\u56e0\u3067\u3042\u308b\u3053\u3068\u3092\u5b9f\u9a13\u5f0f $I = mr^2 (\\frac{g}{r\\alpha} - 1)$ \u306b\u3088\u308a\u5b9a\u91cf\u7684\u306b\u78ba\u8a8d\u3057\u305f\uff08\u8aa4\u5dee\u7387\u7d045\u301c6%\uff09\u3002<\/p>\n

2. \u5916\u90e8\u5408\u30c8\u30eb\u30af\u304c 0 \u306e\u5b64\u7acb\u7cfb\u3067\u306f\u7cfb\u5185\u90e8\u306e\u8cea\u91cf\u5206\u5e03\u304c\u5909\u5316\uff08\u30ea\u30f3\u30b0\u6295\u4e0b\uff09\u3057\u3066\u89d2\u901f\u5ea6\u304c\u5909\u5316\u3057\u3066\u3082\u7dcf\u89d2\u904b\u52d5\u91cf\u306f\u4e00\u5b9a\u306b\u4fdd\u5b58\u3055\u308c\u308b\u3053\u3068\u3092\u5e73\u5747\u8aa4\u5dee\u7387 **1.34%** \u306e\u9ad8\u3044\u4fe1\u983c\u5ea6\u3067\u5b9f\u8a3c\u3057\u305f\u3002<\/p>\n

3. \u5b9f\u9a13\u30c7\u30fc\u30bf\u306e\u521d\u671f\u89e3\u6790\u904e\u7a0b\u3067\u56de\u8ee2\u8ef8\u306e\u300c\u76f4\u5f84\u300d\u3092\u300c\u534a\u5f84\u300d\u3068\u8aa4\u3063\u3066\u4ee3\u5165\u3057\u3066\u3044\u305f\u81f4\u547d\u7684\u306a\u4eba\u7684\u30df\u30b9\uff08\u521d\u671f\u8aa4\u5dee\u7387 80%\u4ee5\u4e0a\uff09\u3092\u767a\u898b\u3057\u3066\u4fee\u6b63\u3057\u305f\u3002\u3053\u306e\u904e\u7a0b\u3092\u901a\u3058\u3066\u30c7\u30fc\u30bf\u691c\u8a3c\u306e\u91cd\u8981\u6027\u3068\u5f0f\u4e2d\u306e\u7279\u306b\u4e8c\u4e57\u9805 $r$ \u306e\u654f\u611f\u6027\u3092\u6df1\u304f\u4f53\u9a13\u3057\u305f\u3002<\/p>\n

## 6.5 Python \u30bd\u30fc\u30b9\u30b3\u30fc\u30c9\uff08\u30c7\u30fc\u30bf\u53ef\u8996\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\uff09<\/p>\n

\u672c\u5831\u544a\u306e\u30c7\u30fc\u30bf\u89e3\u6790\u306b\u7528\u3044\u305f Python \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u30b3\u30a2\u53ef\u8996\u5316\u95a2\u6570\uff08\u4e8c\u8ef8\u30b3\u30f3\u30dc\u30c1\u30e3\u30fc\u30c8\u751f\u6210\uff09\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3002<\/p>\n

import csv\r\nimport matplotlib.pyplot as plt\r\nimport numpy as np\r\nimport os\r\n\r\nplt.rcParams['font.family'] = 'serif'\r\nplt.rcParams['font.serif'] = ['Times New Roman', 'DejaVu Serif']\r\nplt.rcParams['mathtext.fontset'] = 'stix' \r\nplt.rcParams['axes.labelsize'] = 12\r\nplt.rcParams['axes.titlesize'] = 14\r\nplt.rcParams['xtick.labelsize'] = 11\r\nplt.rcParams['ytick.labelsize'] = 11\r\nplt.rcParams['legend.fontsize'] = 10\r\n\r\ndef plot_combo_chart(x_labels, bar1, label1, bar2, label2, line_data, line_label, title, y_left, y_right, filename):\r\n    \"\"\"\r\n    Helper function to generate a dual-axis combination chart.\r\n    Bars: 6 decimal places (smaller font).\r\n    Line: 3 decimal places (slightly larger, bolder font).\r\n    \"\"\"\r\n    fig, ax1 = plt.subplots(figsize=(11, 6.5))\r\n    x = np.arange(len(x_labels))\r\n    width = 0.35\r\n\r\n    rects1 = ax1.bar(x - width\/2, bar1, width, label=label1, color='#4C72B0', alpha=0.85)\r\n    rects2 = ax1.bar(x + width\/2, bar2, width, label=label2, color='#DD8452', alpha=0.85)\r\n    \r\n    ax1.set_ylabel(y_left, fontweight='bold')\r\n    ax1.set_xticks(x)\r\n    ax1.set_xticklabels(x_labels)\r\n    \r\n    ax1.bar_label(rects1, fmt='%.6f', padding=4, fontsize=8, color='#1b2a49')\r\n    ax1.bar_label(rects2, fmt='%.6f', padding=4, fontsize=8, color='#5c2a11')\r\n    \r\n    max_bar_val = max(max(bar1), max(bar2))\r\n    if max_bar_val > 0:\r\n        ax1.set_ylim(0, max_bar_val * 1.25)\r\n    \r\n    ax2 = ax1.twinx()\r\n    line = ax2.plot(x, line_data, color='#C44E52', marker='D', linestyle='--', linewidth=2.5, markersize=8, label=line_label)\r\n    \r\n    ax2.set_ylabel(y_right, color='#C44E52', fontweight='bold')\r\n    ax2.tick_params(axis='y', labelcolor='#C44E52')\r\n    \r\n    for i, val in enumerate(line_data):\r\n        if not np.isnan(val):\r\n            ax2.annotate(f'{val:.3f}', \r\n                         (x[i], val), \r\n                         textcoords=\"offset points\", \r\n                         xytext=(0, 10), \r\n                         ha='center', \r\n                         fontsize=10.5, \r\n                         color='#C44E52', \r\n                         fontweight='bold')\r\n    \r\n    max_line_val = max([v for v in line_data if not np.isnan(v)] or [0])\r\n    if max_line_val > 0:\r\n        ax2.set_ylim(0, max_line_val * 1.35)<\/pre>\n
> \u5168\u30c7\u30fc\u30bf\u306e\u30d1\u30fc\u30b9\u304a\u3088\u3073\u524d\u51e6\u7406\u30ed\u30b8\u30c3\u30af\u3092\u542b\u3080\u5b8c\u5168\u306a\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9\u306f\u6dfb\u4ed8\u306e `main.py` \u3092\u53c2\u7167\u3002<\/p>\n
# 7. \u5b9f\u9a13\u6642\u306e\u6ce8\u610f\u4e8b\u9805<\/p>\n
\u672c\u5b9f\u9a13\u306f\u56de\u8ee2\u529b\u5b66\u7cfb\u306e\u5fae\u5c0f\u306a\u5909\u5316\u3092\u6271\u3046\u305f\u3081\u3001\u5e7e\u4f55\u5b66\u7684\u8aa4\u5dee\u3068\u6469\u64e6\u3092\u6700\u5c0f\u9650\u306b\u6291\u3048\u308b\u305f\u3081\u306b\u4ee5\u4e0b\u306e\u70b9\u3092\u53b3\u5b88\u3057\u3066\u5b9f\u9a13\u3092\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n
## 7.1 \u56de\u8ee2\u88c5\u7f6e\u306e\u6c34\u5e73\u7dad\u6301\uff08Leveling\uff09<\/p>\n
\u56de\u8ee2\u30b9\u30bf\u30f3\u30c9\u5e95\u90e8\u306b\u4ed8\u5c5e\u3059\u308b\u6c34\u5e73\u5668\uff08Leveler\uff09\u306e\u6c17\u6ce1\u304c\u4e2d\u592e\u306b\u6765\u308b\u3088\u3046\u306b\u30cd\u30b8\u3092\u8abf\u6574\u3057\u3066\u88c5\u7f6e\u306e\u6c34\u5e73\u3092\u5b8c\u74a7\u306b\u5408\u308f\u305b\u308b\u3053\u3068\u3002\u6c34\u5e73\u304c\u53d6\u308c\u3066\u3044\u306a\u3044\u3068\u5186\u677f\u306e\u56de\u8ee2\u8ef8\u304c\u50be\u304d\u3001\u91cd\u529b\u306e\u5206\u529b\u304c\u56de\u8ee2\u65b9\u5411\u306b\u4f5c\u7528\u3057\u3066\u610f\u56f3\u3057\u306a\u3044\u8ffd\u52a0\u30c8\u30eb\u30af\u3092\u751f\u3058\u3001\u89d2\u52a0\u901f\u5ea6\u6e2c\u5b9a\u306b\u91cd\u5927\u306a\u7cfb\u7d71\u8aa4\u5dee\u3092\u5f15\u304d\u8d77\u3053\u3059\u3002<\/p>\n
## 7.2 \u7cf8\u306e\u91cd\u306a\u308a\u9632\u6b62\u304a\u3088\u3073\u6c34\u5e73\u6574\u5217\uff08String Winding & Alignment\uff09<\/p>\n
\u56de\u8ee2\u8ef8\uff083\u6bb5\u6ed1\u8eca\uff09\u306b\u7cf8\u3092\u5dfb\u304f\u969b\u3001\u7cf8\u304c\u91cd\u306a\u3089\u305a\u4e00\u672c\u306e\u5217\u3067\u4e26\u3076\u3088\u3046\u306b\u5dfb\u304f\u3053\u3068\u3002\u7cf8\u304c\u91cd\u306a\u3063\u3066\u5dfb\u304b\u308c\u308b\u3068\u56de\u8ee2\u8ef8\u306e\u6709\u52b9\u534a\u5f84 $r$ \u304c\u7cf8\u306e\u539a\u307f\u5206\u3060\u3051\u5909\u5316\u3059\u308b\u3002\u5b9f\u9a13\u5f0f $I = mr^2 (\\frac{g}{r\\alpha} - 1)$ \u306b\u304a\u3044\u3066 $r$ \u306f\u4e8c\u4e57\u3067\u5bc4\u4e0e\u3059\u308b\u305f\u3081\u5fae\u5c0f\u306a\u534a\u5f84\u5909\u5316\u3067\u3082\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u7b97\u51fa\u306b\u5927\u304d\u306a\u8aa4\u5dee\u3092\u3082\u305f\u3089\u3059\u3002\u307e\u305f\u3001\u7cf8\u304c\u30b9\u30de\u30fc\u30c8\u6ed1\u8eca\uff08Smart Pulley\uff09\u3092\u901a\u904e\u3059\u308b\u969b\u306b\u5730\u9762\u3068\u5b8c\u5168\u306b\u6c34\u5e73\u306b\u306a\u308b\u3088\u3046\u306b\u6ed1\u8eca\u306e\u9ad8\u3055\u3092\u8abf\u6574\u3057\u3001\u5f35\u529b\u304c\u7d14\u7c8b\u306b\u56de\u8ee2\u8ef8\u306e\u63a5\u7dda\u65b9\u5411\u306e\u30c8\u30eb\u30af\u3068\u3057\u3066\u4f5c\u7528\u3059\u308b\u3088\u3046\u306b\u3059\u308b\u3002<\/p>\n
## 7.3 \u30ea\u30f3\u30b0\u6295\u4e0b\u6642\u306e\u6b63\u78ba\u306a\u4e2d\u5fc3\u4e00\u81f4\uff08Centering the Mass Ring\uff09<\/p>\n
\u5b9f\u9a13 B\uff08\u89d2\u904b\u52d5\u91cf\u4fdd\u5b58\uff09\u3067\u56de\u8ee2\u3059\u308b\u5186\u677f\u306b\u30ea\u30f3\u30b0\u3092\u843d\u3068\u3059\u969b\u3001\u30ea\u30f3\u30b0\u304c\u5186\u677f\u306e\u771f\u3093\u4e2d\u306e\u30ac\u30a4\u30c9\u6e9d\u306b\u6b63\u78ba\u306b\u5d4c\u308b\u3088\u3046\u306b\u843d\u3068\u3059\u3053\u3068\u3002\u3082\u3057\u4e2d\u5fc3\u304b\u3089\u8ddd\u96e2 $d$ \u3060\u3051\u305a\u308c\u3066\u843d\u3061\u308b\u3068\u5e73\u884c\u8ef8\u306e\u5b9a\u7406\uff08$I = I_{cm} + Md^2$\uff09\u306b\u3088\u308a\u30ea\u30f3\u30b0\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u304c\u7570\u5e38\u306b\u5927\u304d\u304f\u306a\u308a\u3001\u5f8c\u306e\u89d2\u904b\u52d5\u91cf\u8a08\u7b97\u3067\u5927\u304d\u306a\u8aa4\u5dee\u3092\u5f15\u304d\u8d77\u3053\u3059\u3002<\/p>\n
## 7.4 \u5916\u90e8\u30c8\u30eb\u30af\u4ecb\u5165\u306e\u6700\u5c0f\u5316\uff08Minimizing External Torque\uff09<\/p>\n
\u30ea\u30f3\u30b0\u3092\u843d\u3068\u3059\u969b\u306b\u624b\u3067\u56de\u8ee2\u65b9\u5411\u306e\u529b\uff08\u521d\u671f\u89d2\u901f\u5ea6\uff09\u3092\u52a0\u3048\u305f\u308a\u3001\u5782\u76f4\u65b9\u5411\u306b\u5f37\u304f\u62bc\u3055\u3048\u3064\u3051\u305f\u308a\u3057\u306a\u3044\u3088\u3046\u306b\u6ce8\u610f\u3059\u308b\u3053\u3068\u3002\u91cd\u529b\u306e\u4f5c\u7528\u306e\u307f\u3067\u305d\u3063\u3068\u843d\u3068\u3059\uff08Drop\uff09\u3053\u3068\u304c\u91cd\u8981\u3067\u3042\u308a\u3001\u885d\u7a81\u6642\u306b\u751f\u3058\u308b\u6469\u64e6\u4ee5\u5916\u306e\u5916\u90e8\u30c8\u30eb\u30af\u304c\u7cfb\u306b\u4ecb\u5165\u3057\u306a\u3044\u3088\u3046\u306b\u3059\u308b\u3053\u3068\u3067\u7d14\u7c8b\u306a\u89d2\u904b\u52d5\u91cf\u4fdd\u5b58\u3092\u89b3\u5bdf\u3067\u304d\u308b\u3002<\/p>\n
## 7.5 \u304a\u3082\u308a\u306e\u843d\u4e0b\u5b89\u5168\u8ddd\u96e2\u306e\u78ba\u4fdd\uff08Safety of Hanging Mass\uff09<\/p>\n
\u5b9f\u9a13 A \u5b9f\u65bd\u4e2d\u306b\u843d\u4e0b\u3059\u308b\u304a\u3082\u308a\u304c\u5e8a\u3084\u30b9\u30de\u30fc\u30c8\u30b2\u30fc\u30c8\u88c5\u7f6e\u306b\u3076\u3064\u304b\u3089\u306a\u3044\u3088\u3046\u6ce8\u610f\u3059\u308b\u3053\u3068\u3002\u304a\u3082\u308a\u304c\u5e8a\u306b\u3076\u3064\u304b\u308b\u77ac\u9593\u306b\u5f35\u529b $T$ \u304c\u7a81\u7136 0 \u306b\u306a\u3063\u305f\u308a\u53cd\u52d5\u304c\u751f\u3058\u3066\u30c7\u30fc\u30bf\uff08\u89d2\u52a0\u901f\u5ea6\u306e\u7dda\u5f62\u533a\u9593\uff09\u304c\u640d\u306a\u308f\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u5e8a\u306b\u7740\u304f\u76f4\u524d\u307e\u3067\u306e\u307f\u30c7\u30fc\u30bf\u3092\u53ce\u96c6\u3057\u3001\u624b\u3084\u30af\u30c3\u30b7\u30e7\u30f3\u3067\u304a\u3082\u308a\u3092\u5b89\u5168\u306b\u53d7\u3051\u6b62\u3081\u308b\u3002<\/p>\n
# 8. \u53c2\u8003\u6587\u732e<\/p>\n
[1] \u6176\u7199\u5927\u5b66 (Kyung Hee University), \"E1-05 \u5404\u904b\u52d5\u91cf\u4fdd\u5b58,\" APHY1002-11 Physics and Experiment 1 laboratory materials (PDF), n.d.
\n[2] \u6176\u7199\u5927\u5b66 (Kyung Hee University), \"E1-05_\u5404\u904b\u52d5\u91cf\u4fdd\u5b58,\" APHY1002-11 Physics and Experiment 1 laboratory materials (PDF), n.d.
\n[3] \u6176\u7199\u5927\u5b66 (Kyung Hee University), \"EXP05_\u5404\u904b\u52d5\u91cf\u4fdd\u5b58,\" APHY1002-11 Physics and Experiment 1 data sheet (CSV), 2026.
\n[4] \u6176\u7199\u5927\u5b66 (Kyung Hee University), \"Physics Lab OT - Lee Geonbin,\" APHY1002-11 Physics and Experiment 1 orientation materials (PDF), n.d.
\n[5] \u6bdb\u9a8f\u5065, \u987e\u7261 (\u30de\u30aa\u30fb\u30b8\u30e5\u30f3\u30b8\u30a8\u30f3, \u30b0\u30fc\u30fb\u30e0\u30fc), \u300e\u5927\u5b66\u7269\u7406\u5b66\uff08\u7b2c\u4e09\u7248\uff09\uff08\u4e0a\u518a\uff09\u300f, \u9ad8\u7b49\u6559\u80b2\u51fa\u7248\u793e (Higher Education Press), 2020, ISBN: 9787040548822.<\/p>\n","protected":false},"excerpt":{"rendered":"
1.\u5b9f\u9a13\u984c\u76ee<\/p>\n
\u672c\u5b9f\u9a13\u306e\u30c6\u30fc\u30de\u306f **\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u6e2c\u5b9a\u3068\u89d2\u904b\u52d5\u91cf\u4fdd\u5b58** \u3067\u3042\u308b\u3002<\/p>\n
2. \u5b9f\u9a13\u76ee\u7684<\/p>\n
\u56de\u8ee2\u3059\u308b\u525b\u4f53\uff08Rigid Body\uff09\u306e\u89d2\u52a0\u901f\u5ea6\uff08Angular Acc","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"emotion":"","emotion_color":"","title_style":"","license":"","footnotes":""},"categories":[18],"tags":[],"class_list":["post-335","post","type-post","status-publish","format-standard","hentry","category-article-ja"],"_links":{"self":[{"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/posts\/335","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/comments?post=335"}],"version-history":[{"count":1,"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/posts\/335\/revisions"}],"predecessor-version":[{"id":336,"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/posts\/335\/revisions\/336"}],"wp:attachment":[{"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/media?parent=335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/categories?post=335"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wuhanqing.cn\/wordpress\/wp-json\/wp\/v2\/tags?post=335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}