{"id":2594,"date":"2022-03-24T16:26:54","date_gmt":"2022-03-24T16:26:54","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=2594"},"modified":"2022-03-24T10:44:52","modified_gmt":"2022-03-24T10:44:52","slug":"simple-pendulum","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/simple-pendulum\/","title":{"rendered":"\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u00a0(Simple Pendulum)"},"content":{"rendered":"

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u00a0<\/b>(Simple Pendulum<\/b>)<\/b><\/h2>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995 : <\/b>\u098f\u0995\u099f\u09bf \u09ad\u09be\u09b0\u09c0 \u0986\u09df\u09a4\u09a8\u09b9\u09c0\u09a8 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u0995\u09c7 \u0993\u099c\u09a8\u09b9\u09c0\u09a8, \u09a8\u09ae\u09a8\u09c0\u09df \u0993 \u0985\u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3\u09b6\u09c0\u09b2 \u09b8\u09c1\u09a4\u09be \u09a6\u09bf\u09df\u09c7 \u099d\u09c1\u09b2\u09bf\u09df\u09c7 \u09a6\u09bf\u09b2\u09c7 \u098f\u099f\u09bf \u09af\u09a6\u09bf \u0998\u09b0\u09cd\u09b7\u09a3 \u098f\u09dc\u09bf\u09df\u09c7 \u09b8\u09cd\u09ac\u09be\u09a7\u09c0\u09a8\u09ad\u09be\u09ac\u09c7 \u098f\u0995\u099f\u09bf \u0989\u09b2\u09ae\u09cd\u09ac \u09a4\u09b2\u09c7 \u09a6\u09c1\u09b2\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u09a4\u09ac\u09c7 \u09a4\u09be\u0995\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995 \u09ac\u09b2\u09c7<\/span>\u0964<\/span><\/p>\n

\"\u09b8\u09b0\u09b2<\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09ac\u09be\u09b8\u09cd\u09a4\u09ac\u09c7 \u098f \u09b0\u0995\u09ae \u0995\u09cb\u09a8\u09cb \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995 \u09b8\u09ae\u09cd\u09ad\u09ac \u09a8\u09af\u09bc\u0964 \u0995\u09a4\u0997\u09c1\u09b2\u09cb \u0997\u09be\u09a3\u09bf\u09a4\u09bf\u0995 \u09b8\u09c1\u09ac\u09bf\u09a7\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u098f\u09b0\u09c2\u09aa \u09a6\u09cb\u09b2\u0995 \u0995\u09b2\u09cd\u09aa\u09a8\u09be \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u098f\u0995\u099f\u09bf \u09b9\u09be\u09b2\u0995\u09be \u09b8\u09c1\u09a4\u09be\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u09a6\u09c3\u09a2\u09bc \u0985\u09ac\u09b2\u09ae\u09cd\u09ac\u09a8 \u09a5\u09c7\u0995\u09c7 \u098f\u0995\u099f\u09bf \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1 \u099d\u09c1\u09b2\u09bf\u09af\u09bc\u09c7 \u09a6\u09bf\u09b2\u09c7 \u098f\u099f\u09bf \u09b8\u09cd\u09ac\u09be\u09ad\u09be\u09ac\u09bf\u0995 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09af\u09bc \u09b8\u09cb\u099c\u09be \u09b9\u09af\u09bc\u09c7 \u099d\u09c1\u09b2\u09c7 \u09a5\u09be\u0995\u09ac\u09c7\u0964 \u09b8\u09c1\u09a4\u09be\u09b8\u09ae\u09c7\u09a4 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u0995\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995 \u09ac\u09b2\u09be \u09b9\u09af\u09bc (\u099a\u09bf\u09a4\u09cd\u09b0)\u0964<\/span><\/p>\n

\u09ac\u09ac: <\/b>\u09af\u09c7 \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u0995\u09c7 \u09b8\u09c1\u09a4\u09be\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u099d\u09c1\u09b2\u09bf\u09af\u09bc\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995 \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u09be \u09b9\u09af\u09bc \u09a4\u09be\u0995\u09c7 \u09ac\u09ac \u09ac\u09be \u09aa\u09bf\u09a3\u09cd\u09a1 \u09ac\u09b2\u09c7\u0964 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 C<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09ac\u0964<\/span><\/p>\n

\u099d\u09c1\u09b2\u09a8 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 (Hanging point): <\/b>\u09af\u09c7 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a5\u09c7\u0995\u09c7 \u09b8\u09c1\u09a4\u09be\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09ac\u09ac\u0995\u09c7 \u099d\u09c1\u09b2\u09be\u09a8\u09cb \u09b9\u09af\u09bc \u09a4\u09be\u0995\u09c7 \u099d\u09c1\u09b2\u09a8 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09ac\u09b2\u09c7\u0964 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 O<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u099d\u09c1\u09b2\u09a8 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0964<\/span><\/p>\n

\u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af (Functional length): <\/b>\u099d\u09c1\u09b2\u09a8 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a5\u09c7\u0995\u09c7 \u09ac\u09ac\u09c7\u09b0 \u09ad\u09be\u09b0\u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u0995\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09ac\u09be \u09a6\u09cb\u09b2\u0995 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09ac\u09b2\u09c7\u0964 <\/span>\u099a\u09bf\u09a4\u09cd\u09b0\u09c7 OC<\/span> \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af L<\/span><\/span>\u0964<\/span> \u09ac\u09ac\u099f\u09bf \u09b8\u09c1\u09b7\u09ae \u0997\u09cb\u09b2\u0995 \u09b9\u09b2\u09c7 \u099d\u09c1\u09b2\u09a8 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a5\u09c7\u0995\u09c7 \u09ac\u09ac\u09c7\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0 \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7\u09b0 (l<\/span><\/span>) \u09b8\u09be\u09a5\u09c7 \u09ac\u09ac\u09c7\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 (r<\/span>) \u09af\u09cb\u0997 \u0995\u09b0\u09b2\u09c7 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09af\u09bc\u0964 \\therefore L=l+r<\/span><\/span><\/p>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0997\u09a4\u09bf \u0993 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2\u09c7\u09b0 \u09b0\u09be\u09b6\u09bf\u09ae\u09be\u09b2\u09be<\/b><\/a><\/h2>\n

\"\u09b8\u09b0\u09b2<\/p>\n

AB<\/span> \u098f\u0995\u099f\u09bf \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995<\/span>\u0964 B<\/span><\/span> \u098f\u09b0 \u09ad\u09be\u09b0\u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u0964 m<\/span> \u098f\u09b0 \u09ad\u09b0\u0964 \u09a6\u09cb\u09b2\u0995\u099f\u09bf\u0995\u09c7 \u09a6\u09c1\u09b2\u09a4\u09c7 \u09a6\u09bf\u09b2\u09c7 \u09a7\u09b0\u09be \u09af\u09be\u0995, \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u098f\u0995 \u09b8\u09ae\u09af\u09bc \u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09a5\u09c7\u0995\u09c7 \\theta<\/span>\u00a0<\/span> \u0995\u09cb\u09a3\u09c7 AC<\/span> \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u0986\u09b8\u09c7\u0964 \u098f\u0996\u09a8 C<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u098f\u09b0 \u0993\u099c\u09a8 mg<\/span><\/span> \u0996\u09be\u09a1\u09bc\u09be \u09a8\u09bf\u099a\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be \u0995\u09b0\u09c7\u0964 \u098f \u0993\u099c\u09a8\u0995\u09c7 \u09a6\u09c1\u099f\u09bf \u09b2\u09ae\u09cd\u09ac \u0989\u09aa\u09be\u0982\u09b6\u09c7 \u09ad\u09be\u0997 \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc\u0964 \u098f\u0995\u099f\u09bf \u09b8\u09c1\u09a4\u09be\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09ac\u09b0\u09be\u09ac\u09b0 CD<\/span>-\u098f\u09b0 \u09a6\u09bf\u0995\u09c7 mg \\cos \\theta<\/span><\/span>\u2061<\/span>\u00a0<\/span>\u098f\u09ac\u0982 \u0985\u09aa\u09b0\u099f\u09bf \u098f\u09b0 \u09b8\u09be\u09a5\u09c7 \u09b2\u09ae\u09cd\u09ac\u09ad\u09be\u09ac\u09c7 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u09ac\u09b0\u09be\u09ac\u09b0 CE<\/span>-\u098f\u09b0 \u09a6\u09bf\u0995\u09c7 mg \\sin \\theta<\/span><\/span>\u2061<\/span>\u00a0<\/span><\/p>\n

mg \\cos \\theta<\/span>\u2061<\/span>\u00a0<\/span>\u0989\u09aa\u09be\u0982\u09b6\u099f\u09bf \u09b8\u09c1\u09a4\u09be\u09b0 \u099f\u09be\u09a8 T'<\/span><\/span>\u00a0<\/span>\u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a8\u09bf\u09b7\u09cd\u0995\u09cd\u09b0\u09bf\u09af\u09bc \u09b9\u09af\u09bc, \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u098f\u0995\u09ae\u09be\u09a4\u09cd\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09ac\u09b2 F<\/span> \u09b9\u099a\u09cd\u099b\u09c7 mg \\sin \\theta<\/span><\/span>\u2061<\/span> \u098f\u09ac\u0982 \u098f\u09b0 \u09a6\u09bf\u0995 \u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09ac\u09be \u09ae\u09a7\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7\u0964<\/span><\/p>\n

\\therefore F=-mg \\sin \\theta<\/span>\u2061<\/span>\u2061<\/span>, \u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0 \u09ac\u09b2 \u09b8\u09b0\u09a3\u09c7\u09b0 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09a6\u09bf\u0995\u09c7 \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 \u098f\u0987 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09ac\u09b2\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09a4\u09cd\u09ac\u09b0\u09a3 a<\/span> \u09b9\u09b2\u09c7<\/span><\/p>\n

F=m a<\/span><\/span><\/p>\n

\\therefore m a=-m g \\sin \\theta<\/span><\/span>\u2061<\/span><\/p>\n

\u09ac\u09be, a=-g \\sin \\theta<\/span><\/span>\u2061<\/span><\/p>\n

\\theta<\/span> \u098f\u09b0 \u09ae\u09be\u09a8 \u0996\u09c1\u09ac \u0995\u09ae \u09b9\u09b2\u09c7, 4^{\\circ}<\/span><\/span> \u098f\u09b0 \u09ac\u09c7\u09b6\u09bf \u09a8\u09be \u09b9\u09b2\u09c7 \\sin \\theta=\\theta<\/span> <\/span>\u09b0\u09c7\u09a1\u09bf\u09df\u09be\u09a8 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09df<\/span>\u0964<\/span><\/p>\n

\u09ab\u09b2\u09c7 a<\/span> \u098f\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a6\u09be\u0981\u09dc\u09be\u09df a=-g \\theta<\/span>\u00a0 \u09ac\u09be,\u00a0 <\/span>a=-g \\frac{B C}{A C}<\/span><\/p>\n

\u09af\u09c7\u09b9\u09c7\u09a4\u09c1 BC<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09b8\u09b0\u09a3 x<\/span><\/span> \u098f\u09ac\u0982 AC<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af L<\/span><\/span><\/p>\n

\\therefore a=-\\frac{g}{L} x<\/span><\/span><\/p>\n

\u0995\u09bf\u099b\u09c1 \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \\frac{g}{L}<\/span><\/span> \u098f\u0995\u099f\u09bf \u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/span>\u0964<\/span> \u098f\u0995\u09c7 \\omega^2<\/span><\/span> \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09b2\u09c7,\u00a0<\/span><\/p>\n

\\therefore a=-\\omega^{2} x<\/span><\/span><\/p>\n

\u09ac\u09be, a \\propto x<\/span> <\/span><\/p>\n

\u098f\u0995\u099f\u09bf \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf\u09b0 \u09b6\u09b0\u09cd\u09a4<\/span>\u0964<\/span> \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09cd\u09ac\u09b2\u09cd\u09aa \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0997\u09a4\u09bf \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf, \u09af\u09c7\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7<\/span><\/p>\n

\\omega^{2}=\\frac{g}{L}<\/span><\/span> \u09ac\u09be, \\omega=\\sqrt{\\frac{g}{L}}<\/span><\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u09ac\u09be \u09aa\u09b0\u09cd\u09af\u09be\u09df\u0995\u09be\u09b2 T=\\frac{2 \\pi}{\\omega}=2 \\pi \\sqrt{\\frac{L}{g}}<\/span><\/span><\/p>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf (Formulas of Simple Pendulum)\u00a0<\/b><\/h2>\n

\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 <\/b>4\u00b0<\/span> \u098f\u09b0 \u09ac\u09c7\u09b6\u09bf \u09a8\u09be \u09b9\u09b2\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09a8\u09bf\u09ae\u09cd\u09a8\u09cb\u0995\u09cd\u09a4 \u09b8\u09c2\u09a4\u09cd\u09b0 \u099a\u09be\u09b0\u099f\u09bf \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af\u0964<\/b><\/p>\n

\u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u2014\u09b8\u09ae\u0995\u09be\u09b2 \u09b8\u09c2\u09a4\u09cd\u09b0 : <\/b>\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09b9\u09b2\u09c7 \u098f\u09ac\u0982 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09a5\u09be\u0995\u09b2\u09c7 \u0995\u09cb\u09a8\u09cb \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u098f\u0995\u099f\u09bf \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09b8\u09ae\u09be\u09a8 \u09b8\u09ae\u09af\u09bc \u09b2\u09be\u0997\u09c7\u0964 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0\u09c7\u09b0 \u0993\u09aa\u09b0 \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0 \u0995\u09b0\u09c7 \u09a8\u09be\u0964\u00a0\u00a0<\/span><\/p>\n

\u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0\u2014\u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 : <\/b>\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09b9\u09b2\u09c7 \u0995\u09cb\u09a8\u09cb \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 (T<\/span>)-\u098f\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af (L<\/span>)-\u098f\u09b0 \u09ac\u09b0\u09cd\u0997\u09ae\u09c2\u09b2\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09c7 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09b9\u09af\u09bc\u0964\u00a0<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce T \\propto \\sqrt{L}<\/span><\/span> \u09af\u0996\u09a8 g<\/span><\/span> \u09a7\u09cd\u09b0\u09c1\u09ac\u0964\u00a0<\/span><\/p>\n

\u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0\u2014\u09a4\u09cd\u09ac\u09b0\u09a3\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 : <\/b>\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09b9\u09b2\u09c7 \u098f\u09ac\u0982 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af (L<\/span>) \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09a5\u09be\u0995\u09b2\u09c7 \u098f\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 (T<\/span><\/span>) \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09a4\u09cd\u09ac\u09b0\u09a3 (g<\/span><\/span>)-\u098f\u09b0 \u09ac\u09b0\u09cd\u0997\u09ae\u09c2\u09b2\u09c7\u09b0 \u09ac\u09cd\u09af\u09b8\u09cd\u09a4\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09c7 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce T \\propto \\frac{1}{\\sqrt{g}}<\/span><\/span> \u09af\u0996\u09a8 L<\/span> \u09a7\u09cd\u09b0\u09c1\u09ac\u0964<\/span><\/p>\n

\u099a\u09a4\u09c1\u09b0\u09cd\u09a5 \u09b8\u09c2\u09a4\u09cd\u09b0\u2014\u09ad\u09b0\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 : <\/b>\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09b9\u09b2\u09c7 \u098f\u09ac\u0982 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09a5\u09be\u0995\u09b2\u09c7 \u0995\u09cb\u09a8\u09cb \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u09ac\u09ac\u09c7\u09b0 \u09ad\u09b0, \u0986\u09af\u09bc\u09a4\u09a8, \u0989\u09aa\u09be\u09a6\u09be\u09a8 \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf\u09b0 \u0993\u09aa\u09b0 \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0 \u0995\u09b0\u09c7 \u09a8\u09be\u0964 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09ad\u09b0, \u0986\u09af\u09bc\u09a4\u09a8 \u09ac\u09be \u0989\u09aa\u09be\u09a6\u09be\u09a8\u09c7\u09b0 \u09ac\u09ac\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u098f\u0995\u0987 \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\"\"<\/p>\n

L-T^2<\/span> \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0<\/p>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/span>\u00a0<\/span><\/p>\nT \\propto \\sqrt{L}<\/span>\n

\u09ac\u09be, T^{2} \\propto L<\/span><\/span><\/p>\n

\u09ac\u09be, T^2=<\/span><\/span>\u09a7\u09cd\u09b0\u09c1\u09ac \\times L<\/span><\/span><\/p>\n

\u098f\u0995\u099f\u09bf \u099b\u0995 \u0995\u09be\u0997\u099c\u09c7\u09b0 X<\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 L<\/span> \u098f\u09b0 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09ae\u09be\u09a8 \u098f\u09ac\u0982 Y<\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 T^2<\/span><\/span> \u098f\u09b0 \u0986\u09a8\u09c1\u09b7\u0999\u09cd\u0997\u09bf\u0995 \u09ae\u09be\u09a8 \u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u0995\u09b0\u09c7 \u098f\u0995\u099f\u09bf \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0 \u0985\u0999\u09cd\u0995\u09a8 \u0995\u09b0\u09b2\u09c7 \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0\u099f\u09bf \u098f\u0995\u099f\u09bf \u09ae\u09c2\u09b2\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0997\u09be\u09ae\u09c0 \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \u09b9\u09ac\u09c7\u0964 \u0995\u09c7\u09a8\u09a8\u09be, T^2=y,L=x<\/span> <\/span>\u098f\u09ac\u0982 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995 =m<\/span><\/span> \u09a7\u09b0\u09be \u09b9\u09b2\u09c7 \u0989\u09aa\u09b0\u09bf\u0989\u0995\u09cd\u09a4 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a6\u09be\u0981\u09a1\u09bc\u09be\u09af\u09bc y=mx<\/span><\/span>\u0964<\/span> \u098f\u099f\u09bf \u09ae\u09c2\u09b2\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0997\u09be\u09ae\u09c0 \u098f\u0995\u099f\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0964\u00a0<\/span><\/p>\n

\"\"<\/p>\n

g-T^2<\/span> \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0<\/span><\/p>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/span>\u00a0<\/span><\/p>\nT\\propto \\frac{1}{\\sqrt{g}}\n\n<\/span>\n

\u09ac\u09be, T^{2} \\propto \\frac{1}{g}<\/span><\/p>\n

\u09ac\u09be, T^{2}= \u09a7\u09cd\u09b0\u09c1\u09ac \\times \\frac{1}{g}<\/span><\/p>\n

\u098f\u0995\u099f\u09bf \u099b\u0995 \u0995\u09be\u0997\u099c\u09c7 X-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 <\/span>g<\/span><\/span>-\u098f\u09b0 \u09ae\u09be\u09a8 \u098f\u09ac\u0982 Y<\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 T^2<\/span><\/span>-\u098f\u09b0 \u0986\u09a8\u09c1\u09b7\u0999\u09cd\u0997\u09bf\u0995 \u09ae\u09be\u09a8 \u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u0995\u09b0\u09c7 \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0 \u0986\u0981\u0995\u09b2\u09c7 \u0986\u09af\u09bc\u09a4\u09be\u0995\u09be\u09b0 \u0985\u09a7\u09bf\u09ac\u09c3\u09a4\u09cd\u09a4 (<\/span>Rectangular hyperbola<\/span>) \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09ac\u09c7 (\u099a\u09bf\u09a4\u09cd\u09b0)\u0964<\/span><\/p>\n

\"\"<\/p>\n

\u0986\u09ac\u09be\u09b0 <\/span>x<\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \\frac{1}{g}<\/span><\/span>\u00a0\u098f\u09ac\u0982 <\/span>Y<\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u0986\u09a8\u09c1\u09b7\u0999\u09cd\u0997\u09bf\u0995 <\/span>T<\/span>2<\/span> \u098f\u09b0 \u09ae\u09be\u09a8 \u09a8\u09bf\u09af\u09bc\u09c7 \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0 \u0986\u0981\u0995\u09b2\u09c7 (\u09ee.\u09e7\u09e6) \u099a\u09bf\u09a4\u09cd\u09b0\u09c7\u09b0 \u09a8\u09cd\u09af\u09be\u09af\u09bc \u09ae\u09c2\u09b2 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0997\u09be\u09ae\u09c0 \u09b8\u09b0\u09b2 \u09b0\u09c7\u0996\u09be \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09ac\u09c7\u0964 <\/span><\/p>\n

\u0985\u09b2\u09cd\u09aa \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0\u09c7 \u09a6\u09cb\u09b2\u09be\u09af\u09bc\u09ae\u09be\u09a8 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0997\u09a4\u09bf\u09aa\u09a5 \u09b8\u09b0\u09b2\u09b0\u09c8\u0996\u09bf\u0995 \u09a4\u09a5\u09be \u0985\u09a8\u09c1\u09ad\u09c2\u09ae\u09bf\u0995\u0964 \u098f\u0996\u09a8 \u098f\u0995\u099f\u09bf \u09a6\u09cb\u09b2\u09be\u09af\u09bc\u09ae\u09be\u09a8 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b8\u09c1\u09a4\u09be \u09b9\u09a0\u09be\u09ce \u0995\u09b0\u09c7 \u099b\u09bf\u0981\u09a1\u09bc\u09c7 \u0997\u09c7\u09b2\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b8\u09c1\u09a4\u09be\u09b0 \u099f\u09be\u09a8 \u09b6\u09c2\u09a8\u09cd\u09af \u09b9\u09af\u09bc\u09c7 \u09af\u09be\u0993\u09af\u09bc\u09be\u09af\u09bc \u09ac\u09ac\u099f\u09bf \u0985\u09a8\u09c1\u09ad\u09c2\u09ae\u09bf\u0995\u09ad\u09be\u09ac\u09c7 \u09a8\u09bf\u0995\u09cd\u09b7\u09bf\u09aa\u09cd\u09a4 \u09aa\u09cd\u09b0\u09be\u09b8\u09c7\u09b0 \u09a8\u09cd\u09af\u09be\u09af\u09bc \u099a\u09b2\u09c7 \u09ad\u09c2\u09ae\u09bf\u09a4\u09c7 \u09aa\u09a4\u09bf\u09a4 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

\u0998\u09c2\u09b0\u09cd\u09a3\u09be\u09af\u09bc\u09ae\u09be\u09a8 \u0995\u09c3\u09a4\u09cd\u09b0\u09bf\u09ae \u0989\u09aa\u0997\u09cd\u09b0\u09b9\u09c7 \u098f\u0995\u099f\u09bf \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u0985\u09b8\u09c0\u09ae \u09b9\u09ac\u09c7\u0964 \u0995\u09be\u09b0\u09a3 \u0995\u09c3\u09a4\u09cd\u09b0\u09bf\u09ae \u0989\u09aa\u0997\u09cd\u09b0\u09b9 \u098f\u0995\u099f\u09bf \u0985\u099c\u09a1\u09bc \u0995\u09be\u09a0\u09be\u09ae\u09cb \u09b9\u0993\u09af\u09bc\u09be\u09af\u09bc \u09aa\u09c3\u09a5\u09bf\u09ac\u09c0\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u09a8\u09bf\u099f \u09a4\u09cd\u09ac\u09b0\u09a3 \u09b6\u09c2\u09a8\u09cd\u09af \u09b9\u09ac\u09c7, \u09ab\u09b2\u09c7 \u09a6\u09cb\u09b2\u0995\u099f\u09bf \u09a6\u09c1\u09b2\u09ac\u09c7 \u09a8\u09be\u0964\u00a0<\/span><\/p>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 (Application of Simple Pendulum) :<\/b>\u00a0<\/b><\/h2>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0997\u09a4\u09bf \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf\u0964 \u09a4\u09be\u0987 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf \u09a4\u09a5\u09be \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0986\u09ae\u09b0\u09be,<\/span><\/p>\n

\u09e7. \u0995\u09cb\u09a8\u09cb \u09b8\u09cd\u09a5\u09be\u09a8\u09c7\u09b0 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09a4\u09cd\u09ac\u09b0\u09a3, <\/span>g<\/span><\/span>, \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09bf\u0964\u00a0<\/span><\/p>\n

\u09e8. \u09aa\u09be\u09b9\u09be\u09a1\u09bc\u09c7\u09b0 \u0989\u099a\u09cd\u099a\u09a4\u09be \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09bf\u00a0<\/span><\/p>\n

\u09e9. \u09b8\u09ae\u09af\u09bc \u09aa\u09b0\u09bf\u09ae\u09be\u09aa \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09bf\u0964<\/span><\/p>\n

\u09e7. \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 <\/b>g<\/span>-\u098f\u09b0 \u09ae\u09be\u09a8 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc<\/b><\/h3>\n

\u09b8\u09c2\u09a4\u09cd\u09b0 : <\/b>\u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7 \u09ac\u09b2\u09c7\u09b0 \u09aa\u09cd\u09b0\u09ad\u09be\u09ac\u09c7 \u09ad\u09c2\u09aa\u09c3\u09b7\u09cd\u09a0\u09c7 \u09ae\u09c1\u0995\u09cd\u09a4\u09ad\u09be\u09ac\u09c7 \u09aa\u09a1\u09bc\u09a8\u09cd\u09a4 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ac\u09c7\u0997 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf\u09b0 \u09b9\u09be\u09b0\u0995\u09c7 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09a4\u09cd\u09ac\u09b0\u09a3 \u09ac\u09b2\u09c7\u0964 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf,<\/span><\/p>\nT=2 \\pi \\sqrt{\\frac{L}{g}}<\/span>\n

\u09ac\u09be,<\/span> T^{2}=4 \\pi^{2} \\frac{L}{g}<\/span><\/p>\n

\u09ac\u09be,<\/span> g=4 \\pi^{2} \\frac{L}{T^{2}}<\/span><\/p>\n

\u098f\u0987 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u0995\u09cb\u09a8\u09cb \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 L \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 T \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09c7 \u0990 \u09b8\u09cd\u09a5\u09be\u09a8\u09c7\u09b0 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09a4\u09cd\u09ac\u09b0\u09a3 <\/span>g<\/span> \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc\u0964<\/span><\/p>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995 \u09a4\u09c8\u09b0\u09bf : <\/b>\u09b8\u09cd\u099f\u09cd\u09af\u09be\u09a8\u09cd\u09a1\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u098f\u0995\u099f\u09bf \u09b9\u09c1\u0995 \u09a5\u09c7\u0995\u09c7 \u0995\u09cb\u09a8\u09cb \u09b6\u0995\u09cd\u09a4 \u09b8\u09c1\u09a4\u09be \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u098f\u0995\u099f\u09bf \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09ad\u09be\u09b0\u09c0 \u0997\u09cb\u09b2\u0995 \u099d\u09c1\u09b2\u09bf\u09af\u09bc\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995<\/a> \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u098f \u0997\u09cb\u09b2\u0995\u0995\u09c7 \u09ac\u09ac \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n

L<\/span><\/strong> \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc : <\/b>\u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u099d\u09c1\u09b2\u09a8 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a5\u09c7\u0995\u09c7 \u09ac\u09ac\u09c7\u09b0 \u09ad\u09be\u09b0\u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u0995\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af <\/span>L<\/span><\/span> \u09ac\u09b2\u09c7\u0964 \u09aa\u09cd\u09b0\u09a5\u09ae\u09c7 \u098f\u0995\u099f\u09bf \u09ae\u09bf\u099f\u09be\u09b0 \u09b8\u09cd\u0995\u09c7\u09b2\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09b8\u09c1\u09a4\u09be\u09b0 \u099d\u09c1\u09b2\u09a8 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b9\u09c1\u0995 \u09a5\u09c7\u0995\u09c7 \u09ac\u09ac\u09c7\u09b0 \u0989\u09aa\u09b0\u09bf\u09aa\u09c3\u09b7\u09cd\u09a0 \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac <\/span>l<\/span><\/span> \u09ae\u09c7\u09aa\u09c7 \u09a8\u09c7\u09af\u09bc\u09be \u09b9\u09af\u09bc\u0964 \u098f\u09b0\u09aa\u09b0\u00a0 \u098f\u0995\u099f\u09bf \u09b8\u09cd\u09b2\u09be\u0987\u09a1 \u0995\u09cd\u09af\u09be\u09b2\u09bf\u09aa\u09be\u09b0\u09cd\u09b8\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09ac\u09ac\u09c7\u09b0 \u09ac\u09cd\u09af\u09be\u09b8 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09c7 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 <\/span>r<\/span><\/span> \u09ac\u09c7\u09b0 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u09a4\u09be\u09b9\u09b2\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09b9\u09af\u09bc\u00a0 <\/span>L=l+r<\/span>.<\/span><\/p>\n

T<\/span> \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc : <\/b>\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u09aa\u09c2\u09b0\u09cd\u09a3 \u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u09af\u09c7 \u09b8\u09ae\u09af\u09bc \u09b2\u09be\u0997\u09c7 \u09a4\u09be\u0995\u09c7 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u09ac\u09b2\u09c7\u0964 \u09a6\u09cb\u09b2\u0995\u099f\u09bf\u0995\u09c7 \u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be \u09a5\u09c7\u0995\u09c7 \u098f\u0995 \u09aa\u09be\u09b6\u09c7 \u098f\u09ae\u09a8\u09ad\u09be\u09ac\u09c7 \u098f\u0995\u099f\u09c1 \u099f\u09c7\u09a8\u09c7 \u099b\u09c7\u09a1\u09bc\u09c7 \u09a6\u09c7\u09af\u09bc\u09be \u09b9\u09af\u09bc \u09af\u09be\u09a4\u09c7 \u098f\u099f\u09bf \u09a6\u09c1\u09b2\u09a4\u09c7 \u09a5\u09be\u0995\u09c7 \u098f\u09ac\u0982 \u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 4<\/span>\u00b0<\/span>-\u098f\u09b0 \u09ac\u09c7\u09b6\u09bf \u09a8\u09be \u09b9\u09af\u09bc\u0964 \u098f\u0995\u099f\u09bf \u09b8\u09cd\u099f\u09aa\u0993\u09af\u09bc\u09be\u099a\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0995\u09af\u09bc\u09c7\u0995\u099f\u09bf \u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u09af\u09c7\u09ae\u09a8 20 \u09ac\u09be, 25 \u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u09b8\u09ae\u09af\u09bc \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09c7 \u0990 \u09b8\u09ae\u09af\u09bc\u0995\u09c7 \u09a6\u09cb\u09b2\u09a8 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09bf\u09af\u09bc\u09c7 \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u098f\u0995\u099f\u09bf \u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u09b8\u09ae\u09af\u09bc \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 T<\/span> \u09ac\u09c7\u09b0 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964\u00a0<\/span><\/p>\n

\u0997\u09a1\u09bc <\/b>\\frac{L}{T^2}<\/span><\/strong>\u00a0 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc : <\/b>\u09b8\u09c1\u09a4\u09be\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u0995\u09b0\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af <\/span>L<\/span> \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u0995\u09b0\u09be \u09b9\u09af\u09bc \u098f\u09ac\u0982 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0\u09c0\u00a0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 T<\/span> \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09c7 \u09aa\u09cd\u09b0\u09a4\u09bf \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \\frac{L}{T^2}<\/span><\/span>\u00a0\u09ac\u09c7\u09b0 \u0995\u09b0\u09c7 \u0997\u09a1\u09bc \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u098f \u0997\u09a1\u09bc \u09ae\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7 \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 g<\/span>-\u098f\u09b0 \u09ae\u09be\u09a8 \u09b9\u09bf\u09b8\u09be\u09ac \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u09b2\u09c7\u0996 \u09a5\u09c7\u0995\u09c7 L<\/span> \u0993 T^2<\/span> \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc<\/strong><\/h3>\n

\"\u09b2\u09c7\u0996<\/p>\n

\u098f\u0995\u099f\u09bf \u099b\u0995 \u0995\u09be\u0997\u099c\u09c7\u09b0 <\/span>X<\/span><\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 <\/span>L<\/span><\/span>-\u098f\u09b0 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09ae\u09be\u09a8 \u098f\u09ac\u0982 Y<\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u0986\u09a8\u09c1\u09b7\u0999\u09cd\u0997\u09bf\u0995 T^2<\/span><\/span>-\u098f\u09b0 \u09ae\u09be\u09a8 \u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u0995\u09b0\u09c7 \u09b2\u09c7\u0996 \u0985\u0999\u09cd\u0995\u09a8 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u09b2\u09c7\u0996\u099f\u09bf \u09ae\u09c2\u09b2\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0997\u09be\u09ae\u09c0 \u098f\u0995\u099f\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \u09b9\u09af\u09bc\u0964 \u098f \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u09b0 \u0993\u09aa\u09b0 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 P<\/span> \u09a8\u09bf\u09af\u09bc\u09c7 P<\/span> \u09a5\u09c7\u0995\u09c7 X<\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u0993\u09aa\u09b0 PM<\/span> \u098f\u09ac\u0982 Y<\/span>-\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u0993\u09aa\u09b0 PN<\/span> \u09b2\u09ae\u09cd\u09ac \u099f\u09be\u09a8\u09be \u09b9\u09af\u09bc (\u099a\u09bf\u09a4\u09cd\u09b0)\u0964 \u09a4\u09be\u09b9\u09b2\u09c7 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af <\/span>L\u00a0=\u00a0OM<\/span>–<\/span>\u098f\u09b0 \u099c\u09a8\u09cd\u09af \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2\u09c7\u09b0 \u09ac\u09b0\u09cd\u0997 T^2=0N<\/span><\/span>\u00a0\u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09af\u09bc\u0964<\/span><\/p>\n

\u09ab\u09b2\u09be\u09ab\u09b2 : <\/b>\u09b2\u09c7\u0996 \u09a5\u09c7\u0995\u09c7 \u09aa\u09cd\u09b0\u09be\u09aa\u09cd\u09a4 \u098f\u0987 L \u0993 <\/span>T<\/span>2<\/span> \u098f\u09b0 \u09ae\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7 \u09ac\u09b8\u09bf\u09df\u09c7 <\/span>g<\/span> \u2013 \u098f\u09b0 \u09ae\u09be\u09a8 \u09b9\u09bf\u09b8\u09be\u09ac \u0995\u09b0\u09be \u09b9\u09df<\/span>\u0964<\/span><\/p>\n\\begin{aligned}\n\ng &=4 \\pi^{2} \\frac{L}{T^{2}} \\\\\n\n&=4 \\pi^{2} \\frac{O M}{O N}\n\n\\end{aligned}<\/span>\n

\u09b8\u09a4\u09b0\u09cd\u0995\u09a4\u09be : <\/b>\u09e7. \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u09af\u09be\u09a4\u09c7 <\/span>4<\/span>\u00b0<\/span> \u098f\u09b0 \u09ac\u09c7\u09b6\u09bf \u09a8\u09be \u09b9\u09df \u09b8\u09c7 \u09a6\u09bf\u0995\u09c7 \u09b2\u0995\u09cd\u09b7\u09cd\u09af \u09b0\u09be\u0996\u09be \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8\u0964<\/span><\/p>\n

\u09e8. \u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09b8\u09a0\u09bf\u0995\u09ad\u09be\u09ac\u09c7 \u0997\u09a3\u09a8\u09be \u0995\u09b0\u09be \u09b9\u09df \u0985\u09a8\u09cd\u09af\u09a5\u09be\u09df <\/span>T<\/span> \u098f\u09b0 \u09ae\u09be\u09a8\u09c7 \u09ad\u09c1\u09b2 \u09a5\u09c7\u0995\u09c7 \u09af\u09be\u09df<\/span>\u0964<\/span> g<\/span> \u2013 \u098f\u09b0 \u09ae\u09be\u09a8\u09c7\u09b0 \u09a8\u09bf\u09b0\u09cd\u09ad\u09c1\u09b2\u09a4\u09be T \u098f\u09b0 \u09ae\u09be\u09a8\u09c7\u09b0 \u0993\u09aa\u09b0 \u0985\u09a8\u09c7\u0995\u09be\u0982\u09b6\u09c7 \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0\u09b6\u09c0\u09b2<\/span>\u0964<\/span><\/p>\n

\u09e9. <\/span>L<\/span> \u098f\u09b0 \u09ae\u09be\u09a8 \u09af\u09a5\u09be\u09b8\u09ae\u09cd\u09ad\u09ac \u09ac\u09c7\u09b6\u09bf \u09b9\u0993\u09df\u09be \u09ac\u09be\u099e\u09cd\u099b\u09a8\u09c0\u09df<\/span>\u0964<\/span><\/p>\n

\u09ea. \u09a6\u09cb\u09b2\u09be\u09b0 \u09b8\u09ae\u09df \u09b8\u09c1\u09a4\u09be \u09af\u09be\u09a4\u09c7 \u09aa\u09be\u0995 \u09a8\u09be \u0996\u09be\u09df \u098f\u09ac\u0982 \u09ac\u09ac \u09af\u09be\u09a4\u09c7 \u098f\u0995\u0987 \u0989\u09b2\u09ae\u09cd\u09ac \u09a4\u09b2\u09c7 \u09a6\u09cb\u09b2\u09c7 \u09b8\u09c7 \u09a6\u09bf\u0995\u09c7 \u09b2\u0995\u09cd\u09b7\u09cd\u09af \u09b0\u09be\u0996\u09be \u09b9\u09df<\/span>\u0964<\/span><\/p>\n

\u09e8. \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09aa\u09be\u09b9\u09be\u09dc\u09c7\u09b0 \u0989\u099a\u09cd\u099a\u09a4\u09be \u09a8\u09bf\u09b0\u09cd\u09a3\u09df<\/b><\/h3>\n

\"\u09b8\u09b0\u09b2<\/p>\n

\u09a7\u09b0\u09be \u09af\u09be\u0995 \u09aa\u09be\u09b9\u09be\u09dc\u09c7\u09b0 \u09aa\u09be\u09a6\u09a6\u09c7\u09b6\u09c7 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09a4\u09cd\u09ac\u09b0\u09a3 <\/span>=g<\/span><\/span><\/p>\n

\u09aa\u09be\u09b9\u09be\u09dc\u09c7\u09b0 \u099a\u09c2\u09dc\u09be\u09df \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09a4\u09cd\u09ac\u09b0\u09a3 ={g}'<\/span><\/span><\/p>\n

\u09aa\u09c3\u09a5\u09bf\u09ac\u09c0\u09b0 \u09ad\u09b0 <\/span>=M<\/span><\/span><\/p>\n

\u09aa\u09c3\u09a5\u09bf\u09ac\u09c0\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 <\/span>=R<\/span><\/span><\/p>\n

\u09aa\u09be\u09b9\u09be\u09dc\u09c7\u09b0 \u0989\u099a\u09cd\u099a\u09a4\u09be <\/span>=h<\/span><\/span><\/p>\n

\u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u09ae\u09b9\u09be\u0995\u09b0\u09cd\u09b7\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7,<\/span><\/p>\ng=\\frac{GM}{R^2}<\/span>\n{g}'=\\frac{GM}{(R+h)^2}<\/span>\n

\u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,\u00a0<\/span><\/p>\n\\frac{g}{g^{\\prime}}=\\frac{(R+h)^{2}}{R^{2}}=\\left(\\frac{R+h}{R}\\right)^{2}=\\left(1+\\frac{h}{R}\\right)^{2}<\/span>\n

\u09ac\u09be, 1+\\frac{h}{R}=\\left(\\frac{g}{g^{\\prime}}\\right)^{\\frac{1}{2}}<\/span><\/span><\/p>\n

\u09ac\u09be,\u00a0 h=\\left[\\left(\\frac{g}{g^{\\prime}}\\right)^{\\frac{1}{2}}-1\\right] R<\/span><\/span><\/p>\n

\u098f \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u0986\u09ac\u09be\u09b0 \u09aa\u09be\u09b9\u09be\u09dc\u09c7\u09b0 \u09aa\u09be\u09a6\u09a6\u09c7\u09b6\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 T \u098f\u09ac\u0982 \u09aa\u09be\u09b9\u09be\u09dc\u09c7\u09b0 \u09b6\u09c0\u09b0\u09cd\u09b7\u09c7 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 <\/span>T\u2019<\/span> \u098f\u09ac\u0982 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af L \u09b9\u09b2\u09c7, \u09b8\u09ae\u09df\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0<\/span>\u09a3\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09aa\u09be\u09b9\u09be\u09dc\u09c7\u09b0 \u0989\u099a\u09cd\u099a\u09a4\u09be \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u09be \u09af\u09be\u09df<\/span>\u0964<\/span>\u00a0<\/span><\/p>\n

T=2 \\pi \\sqrt{\\frac{L}{g}}, \\quad<\/span>\u00a0 \u00a0 \u00a0<\/span><\/p>\n

\u09ac\u09be<\/span>,\u00a0 \\quad T^{\\prime}=2 \\pi \\sqrt{\\frac{L}{g}}<\/span><\/span><\/p>\n\\therefore \\frac{T^{\\prime}}{T}=\\sqrt{\\frac{g}{g}}<\/span>\n

\u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7 \u09ac\u09b8\u09bf\u09df\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/span><\/p>\nh=\\left[\\frac{T^{\\prime}}{T}-1\\right] R<\/span>\n

T<\/span> \u0993 {T}'<\/span> \u098f\u09b0 \u09ae\u09be\u09a8 \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u09c7 \u098f \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7\u0993 \u09aa\u09be\u09b9\u09be\u09dc\u09c7\u09b0 \u0989\u099a\u09cd\u099a\u09a4\u09be \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u09be \u09af\u09be\u09df<\/span>\u0964<\/span><\/p>\n

\u09e9. \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09b8\u09ae\u09af\u09bc \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc<\/b><\/h3>\n

\u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u098f\u0995 \u09aa\u09cd\u09b0\u0995\u09be\u09b0 \u0998\u09a1\u09bc\u09bf \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u09c7 \u09b8\u09ae\u09af\u09bc \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u098f \u09b8\u0995\u09b2 \u0998\u09a1\u09bc\u09bf\u0995\u09c7 \u09a6\u09cb\u09b2\u0995 \u0998\u09a1\u09bc\u09bf<\/strong> \u09ac\u09b2\u09c7\u0964 \u09a6\u09cb\u09b2\u0995 \u0998\u09a1\u09bc\u09bf \u098f\u0995 \u09aa\u09cd\u09b0\u0995\u09be\u09b0 \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u09a6\u09cb\u09b2\u0995 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 2 \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u0964 \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 1 \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u09ac\u09be \u09aa\u09cd\u09b0\u09a4\u09bf \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8\u09c7 \u098f\u0995\u099f\u09bf \u099f\u09bf\u0995 \u09ac\u09be 1 \u099f\u09bf \u2018\u09ac\u09bf\u099f\u2019 \u09a6\u09c7\u09af\u09bc\u0964 \u098f \u09b8\u0995\u09b2 \u09a6\u09cb\u09b2\u0995 \u09b8\u09be\u09a7\u09be\u09b0\u09a3\u09a4 \u09a7\u09be\u09a4\u09ac \u09aa\u09a6\u09be\u09b0\u09cd\u09a5 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a8\u09bf\u09b0\u09cd\u09ae\u09bf\u09a4 \u09b9\u09af\u09bc\u0964 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u09b8\u09be\u09a5\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u0998\u099f\u09c7\u0964 \u09ab\u09b2\u09c7 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2\u09c7\u09b0\u0993 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u0998\u099f\u09c7\u0964 \u098f \u099c\u09a8\u09cd\u09af \u09a6\u09cb\u09b2\u0995 \u09a7\u09c0\u09b0\u09c7 \u09ac\u09be \u09a6\u09cd\u09b0\u09c1\u09a4 \u099a\u09b2\u09c7\u0964 \u09a6\u09cb\u09b2\u0995\u09aa\u09bf\u09a3\u09cd\u09a1\u09c7\u09b0 \u09a8\u09bf\u099a\u09c7 \u09b8\u09cd\u0995\u09cd\u09b0\u09c1\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09a8\u09bf\u09af\u09bc\u09a8\u09cd\u09a4\u09cd\u09b0\u09a3 \u0995\u09b0\u09c7 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u09a0\u09bf\u0995 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u09af\u09c7\u09b9\u09c7\u09a4\u09c1, 1 \u09a6\u09bf\u09a8 <\/span>=86400\u00a0<\/span>\u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09df\u09be\u0982 \u09b8\u09a0\u09bf\u0995 \u09b8\u09ae\u09df \u09a8\u09bf\u09b0\u09cd\u09a6\u09c7\u09b6\u0995\u09be\u09b0\u09c0 \u098f\u0995\u099f\u09bf \u09a6\u09cb\u09b2\u0995 \u0998\u09dc\u09bf \u09a6\u09bf\u09a8\u09c7 <\/span>86400<\/span>\u099f\u09bf \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8 \u09a6\u09c7\u09df<\/span>\u0964<\/span><\/p>\n

\u09a6\u09cb\u09b2\u0995 \u0998\u09dc\u09bf \u09a6\u09cd\u09b0\u09c1\u09a4 \u09ac\u09be \u09a7\u09c0\u09b0\u09c7 \u099a\u09b2\u09b2\u09c7 \u09a8\u09bf\u099a\u09c7\u09b0 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09a4\u09c7 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2\u00a0 \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u09be \u09af\u09be\u09df:<\/span><\/p>\n

\u09a7\u09b0\u09be \u09af\u09be\u0995 \u098f\u0995\u099f\u09bf \u09a6\u09cb\u09b2\u0995 \u0998\u09dc\u09bf \u09a6\u09bf\u09a8\u09c7 <\/span>n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u09a7\u09c0\u09b0\u09c7 \u099a\u09b2\u09c7<\/span>\u0964<\/span><\/p>\n

\u2234<\/span> \u09a6\u09cb\u09b2\u0995\u099f\u09bf <\/span>(86400-n)\u00a0<\/span>\u099f\u09bf \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8 \u09a6\u09c7\u09df <\/span>86400<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u09c7<\/span><\/p>\n

\u09a6\u09cb\u09b2\u0995\u099f\u09bf 1\u099f\u09bf \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8 \u09a6\u09c7\u09df <\/span>86400<\/span>86400-n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u09c7<\/span><\/p>\n

\u09a6\u09cb\u09b2\u0995\u099f\u09bf 2\u099f\u09bf \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8 \u09a6\u09c7\u09df <\/span>2<\/span>86400<\/span>86400-n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u09c7<\/span><\/p>\n

\u2234<\/span> \u09a6\u09bf\u09a8\u09c7 <\/span>n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u09a7\u09c0\u09b0\u09c7 \u099a\u09b2\u09b2\u09c7 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u09b9\u09ac\u09c7 <\/span>2<\/span>86400<\/span>86400-n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u0964<\/span><\/p>\n

\u0986\u09ac\u09be\u09b0 \u09a6\u09cb\u09b2\u0995 \u0998\u09dc\u09bf \u09a6\u09bf\u09a8\u09c7 <\/span>n<\/span>\u00a0 \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u09a6\u09cd\u09b0\u09c1\u09a4 \u099a\u09b2\u09b2\u09c7<\/span><\/p>\n

\u2234<\/span> \u09a6\u09cb\u09b2\u0995\u099f\u09bf <\/span>(86400+n<\/span>)\u099f\u09bf \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8 \u09a6\u09c7\u09df <\/span>86400<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u09c7<\/span><\/p>\n

\u09a6\u09cb\u09b2\u0995\u099f\u09bf 1\u099f\u09bf \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8 \u09a6\u09c7\u09df <\/span>86400<\/span>86400+n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u09c7<\/span><\/p>\n

\u09a6\u09cb\u09b2\u0995\u099f\u09bf 2\u099f\u09bf \u0985\u09b0\u09cd\u09a7\u09a6\u09cb\u09b2\u09a8 \u09a6\u09c7\u09df <\/span>2<\/span>86400<\/span>86400+n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u09c7<\/span><\/p>\n

\u2234<\/span> \u09a6\u09bf\u09a8\u09c7 <\/span>n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u09a6\u09cd\u09b0\u09c1\u09a4 \u099a\u09b2\u09b2\u09c7 \u09a6\u09cb\u09b2\u09a8\u0995\u09be\u09b2 \u09b9\u09ac\u09c7 <\/span>2<\/span>86400<\/span>86400+n<\/span> \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u0964<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u00a0(Simple Pendulum) \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995 : \u098f\u0995\u099f\u09bf \u09ad\u09be\u09b0\u09c0 \u0986\u09df\u09a4\u09a8\u09b9\u09c0\u09a8 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u0995\u09c7 \u0993\u099c\u09a8\u09b9\u09c0\u09a8, \u09a8\u09ae\u09a8\u09c0\u09df \u0993 \u0985\u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3\u09b6\u09c0\u09b2 \u09b8\u09c1\u09a4\u09be \u09a6\u09bf\u09df\u09c7 \u099d\u09c1\u09b2\u09bf\u09df\u09c7 \u09a6\u09bf\u09b2\u09c7 \u098f\u099f\u09bf \u09af\u09a6\u09bf \u0998\u09b0\u09cd\u09b7\u09a3 \u098f\u09dc\u09bf\u09df\u09c7 \u09b8\u09cd\u09ac\u09be\u09a7\u09c0\u09a8\u09ad\u09be\u09ac\u09c7 \u098f\u0995\u099f\u09bf \u0989\u09b2\u09ae\u09cd\u09ac \u09a4\u09b2\u09c7 \u09a6\u09c1\u09b2\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u09a4\u09ac\u09c7 \u09a4\u09be\u0995\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995 \u09ac\u09b2\u09c7\u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09ac\u09be\u09b8\u09cd\u09a4\u09ac\u09c7 \u098f \u09b0\u0995\u09ae \u0995\u09cb\u09a8\u09cb \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[51,4242,3028,50],"tags":[1965,1124,1966,1968,1896,1019,1897,1121,1894,1892,1886,1859,1883,1895,1891,1893,1967,1113],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2594"}],"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\/56"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=2594"}],"version-history":[{"count":11,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2594\/revisions"}],"predecessor-version":[{"id":12417,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2594\/revisions\/12417"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=2594"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=2594"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=2594"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}