{"id":298,"date":"2022-03-24T02:05:52","date_gmt":"2022-03-24T02:05:52","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=298"},"modified":"2022-03-30T18:43:50","modified_gmt":"2022-03-30T12:43:50","slug":"newtons-law-for-angular-motion","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/newtons-law-for-angular-motion\/","title":{"rendered":"\u0995\u09cc\u09a3\u09bf\u0995 \u0997\u09a4\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u0964 Newton\u2019s law for angular motion"},"content":{"rendered":"\r\n

\u09b0\u09c8\u0996\u09bf\u0995 \u0997\u09a4\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u0997\u09a4\u09bf\u09b8\u09c2\u09a4\u09cd\u09b0\u0997\u09c1\u09b2\u09cb \u098f\u0996\u09be\u09a8\u09c7<\/strong> <\/a>\u0986\u09b2\u09cb\u099a\u09a8\u09be \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u0997\u09a4\u09bf\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7\u0993 \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u0997\u09a4\u09bf\u09b8\u09c2\u09a4\u09cd\u09b0\u0997\u09c1\u09b2\u09cb \u09ad\u09bf\u09a8\u09cd\u09a8\u09b0\u09c2\u09aa\u09c7 \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af\u0964 \u09a8\u09bf\u09ae\u09cd\u09a8\u09c7 \u0995\u09cc\u09a3\u09bf\u0995 \u0997\u09a4\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u0997\u09c1\u09b2\u09cb (Newton\u2019s law for angular motion) \u09ac\u09bf\u09ac\u09c3\u09a4 \u0993 \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be \u0995\u09b0\u09be \u09b9\u09b2\u09cb\u0964<\/p>\r\n\r\n\r\n\r\n

(\u09e7) \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0 :<\/h2>\r\n\r\n\r\n\r\n

\u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u099f\u09b0\u09cd\u0995 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b6\u09c0\u09b2 \u09a8\u09be \u09b9\u09b2\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09b8\u09cd\u09a5\u09bf\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u098f\u09ac\u0982 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8\u09b0\u09a4 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09b8\u09ae\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09c7\u0997\u09c7 \u0998\u09c1\u09b0\u09a4\u09c7 \u09a5\u09be\u0995\u09ac\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be :<\/strong><\/h3>\r\n

\u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09a8\u09c1\u09af\u09be\u09af\u09bc\u09c0 \u09ac\u09be\u09b9\u09cd\u09af\u09bf\u0995 \u099f\u09b0\u09cd\u0995\u09c7\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09a4\u09c7\u0987 \u0995\u09c7\u09ac\u09b2\u09ae\u09be\u09a4\u09cd\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09c7\u0997\u09c7\u09b0 \u09a4\u09a5\u09be \u0995\u09cc\u09a3\u09bf\u0995 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u09b8\u09ae\u09cd\u09ad\u09ac\u0964 \u099f\u09b0\u09cd\u0995\u09c7\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be \u099b\u09be\u09a1\u09bc\u09be \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09c7\u0997 \u09b9\u09ac\u09c7 \u09b8\u09ae\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09c7\u0997\u0964 \u0986\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1 \u0986\u09aa\u09a8\u09be \u09b9\u09a4\u09c7\u0987 \u09a4\u09be\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u0989\u09aa\u09b0 \u09aa\u09cd\u09b0\u09ad\u09be\u09ac \u09ab\u09c7\u09b2\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u09a8\u09be\u0964 \u0995\u09cc\u09a3\u09bf\u0995 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u0995\u09be\u09b0\u09c0\u0987 \u09b9\u099a\u09cd\u099b\u09c7 \u099f\u09b0\u09cd\u0995\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982, \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u099f\u09b0\u09cd\u0995\u09c7\u09b0 \u09b2\u09ac\u09cd\u09a7\u09bf \u09b6\u09c2\u09a8\u09cd\u09af \u09b9\u09b2\u09c7 \u0990 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3\u0993 \u09b6\u09c2\u09a8\u09cd\u09af \u09b9\u09ac\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

(\u09e8) \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0 :<\/h2>\r\n\r\n\r\n\r\n

\u0998\u09c2\u09b0\u09cd\u09a3\u09a8\u09b0\u09a4 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u09b0 \u09b9\u09be\u09b0 \u0990 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b6\u09c0\u09b2 \u099f\u09b0\u09cd\u0995\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995 \u098f\u09ac\u0982 \u099f\u09b0\u09cd\u0995 \u09af\u09c7 \u09a6\u09bf\u0995\u09c7 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be \u0995\u09b0\u09c7 \u0995\u09cc\u09a3\u09bf\u0995 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u0993 \u0990 \u09a6\u09bf\u0995\u09c7 \u0998\u099f\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be :<\/strong><\/h3>\r\n

\u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09a8\u09c1\u09af\u09be\u09af\u09bc\u09c0 \u0995\u09cc\u09a3\u09bf\u0995 \u09ad\u09b0\u09ac\u09c7\u0997 L = I \\omega<\/span>-\u098f\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u09b0 \u09b9\u09be\u09b0\u00a0\\frac{dL}{dt}<\/span> \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u099f\u09b0\u09cd\u0995 ? \u098f\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995\u0964<\/p>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce, \\tau \\alpha \\frac{dL}{dt} \\alpha I \\frac{d\\omega}{dt}<\/span><\/p>\r\n\r\n\r\n\r\n

\u221e I \\alpha<\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, \\tau = KI\\alpha<\/span><\/p>\r\n\r\n\r\n\r\n

\u098f\u0996\u09be\u09a8\u09c7 K \u098f\u0995\u099f\u09bf \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995\u0964 \u098f\u09b8. \u0986\u0987. \u098f\u0995\u0995\u09c7 ?=1<\/p>\r\n\r\n\r\n\r\n

\u099f\u09b0\u09cd\u0995 ?-\u098f\u09b0 \u0985\u09ad\u09bf\u09ae\u09c1\u0996\u09c7\u0987 \u0995\u09cc\u09a3\u09bf\u0995 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 ?? \u09b8\u0982\u0997\u09a0\u09bf\u09a4 \u09b9\u09ac\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u09ac\u09b0\u09cd\u09a3\u09a8\u09be \u0985\u09a8\u09c1\u09af\u09be\u09af\u09bc\u09c0 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3\u09c7\u09b0 \u0989\u09ce\u09b8\u0987 \u099f\u09b0\u09cd\u0995\u0964<\/p>\r\n\r\n\r\n\r\n

\\therefore \\vec{\\tau} = I \\vec{\\alpha}<\/span> \u2026\u2026\u2026(4.44)<\/p>\r\n\r\n\r\n\r\n

(\u09e9) \u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0 :<\/h2>\r\n\r\n\r\n\r\n

\u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09ae\u09c2\u09b2\u0995 \u099f\u09b0\u09cd\u0995\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u09b8\u09ae\u09be\u09a8 \u0993 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09aa\u09cd\u09b0\u09a4\u09bf\u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09ae\u09c2\u09b2\u0995 \u099f\u09b0\u09cd\u0995 \u0986\u099b\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be :<\/strong><\/h3>\r\n

\u09ac\u09b8\u09cd\u09a4\u09c1 ? \u0985\u09aa\u09b0 \u098f\u0995\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 ?-\u098f\u09b0 \u0989\u09aa\u09b0 \\vec{\\tau_{12}}<\/span> \u099f\u09b0\u09cd\u0995 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u0997 \u0995\u09b0\u09b2\u09c7 ? \u09ac\u09b8\u09cd\u09a4\u09c1\u0993 ?-\u098f\u09b0 \u0989\u09aa\u09b0 \u09b8\u09ae\u09be\u09a8 \u0993 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4\u09ae\u09c1\u0996\u09c0 \u099f\u09b0\u09cd\u0995 \\vec{\\tau_{21}}<\/span> \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u0997 \u0995\u09b0\u09ac\u09c7\u0964 \u098f\u0996\u09be\u09a8\u09c7 ? \u0995\u09b0\u09cd\u09a4\u09c3\u0995 ?-\u098f\u09b0 \u0989\u09aa\u09b0 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u099f\u09b0\u09cd\u0995 \\vec{\\tau_{12}}<\/span> \u0993 ? \u0995\u09b0\u09cd\u09a4\u09c3\u0995 ?-\u098f\u09b0 \u0989\u09aa\u09b0 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u099f\u09b0\u09cd\u0995 \\vec{\\tau_{21}}<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09aa\u09cd\u09b0\u09a4\u09bf\u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09ae\u09c2\u09b2\u0995 \u099f\u09b0\u09cd\u0995\u0964<\/p>\r\n\r\n\r\n\r\n

\\therefore \\vec{\\tau_{12}} = - \\vec{\\tau_{21}} <\/span> \u0993 \\tau_{12} = \\tau_{21}<\/span><\/p>\r\n\r\n\r\n\r\n

\u09aa\u09cd\u09b0\u09a4\u09bf\u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09ae\u09c2\u09b2\u0995 \u099f\u09b0\u09cd\u0995\u09c7\u09b0 \u09a6\u09bf\u0995 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09ae\u09c2\u09b2\u0995 \u099f\u09b0\u09cd\u0995\u09c7\u09b0 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4\u09ae\u09c1\u0996\u09c0, \u09a4\u09be\u0987 \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995 \u099a\u09bf\u09b9\u09cd\u09a8 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964<\/p>\r\n","protected":false},"excerpt":{"rendered":"

\u09b0\u09c8\u0996\u09bf\u0995 \u0997\u09a4\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u0997\u09a4\u09bf\u09b8\u09c2\u09a4\u09cd\u09b0\u0997\u09c1\u09b2\u09cb \u098f\u0996\u09be\u09a8\u09c7 \u0986\u09b2\u09cb\u099a\u09a8\u09be \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u0997\u09a4\u09bf\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7\u0993 \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u0997\u09a4\u09bf\u09b8\u09c2\u09a4\u09cd\u09b0\u0997\u09c1\u09b2\u09cb \u09ad\u09bf\u09a8\u09cd\u09a8\u09b0\u09c2\u09aa\u09c7 \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af\u0964 \u09a8\u09bf\u09ae\u09cd\u09a8\u09c7 \u0995\u09cc\u09a3\u09bf\u0995 \u0997\u09a4\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u0997\u09c1\u09b2\u09cb (Newton\u2019s law for angular motion) \u09ac\u09bf\u09ac\u09c3\u09a4 \u0993 \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be \u0995\u09b0\u09be \u09b9\u09b2\u09cb\u0964 (\u09e7) \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0 : \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4238,3028,50,51],"tags":[898,899,900,901],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/298"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=298"}],"version-history":[{"count":8,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/298\/revisions"}],"predecessor-version":[{"id":12430,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/298\/revisions\/12430"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=298"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=298"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}