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A particle of mass 'm' is attached to three identical springs A, B and C each of force constant 'k' as shown in figure. If the particle of mass 'm' is pushed sightly against the spring 'A' and released. Find the period of oscillation |
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Answer» Solution :When the particle of mass .m. at .0. is pushed by .y. in the direction of A, spring .A. will be compressed by .y. while B and C will be stretched by `y.= y cos45^(@)` , so the total restoring FORCE on the mass .m. ALONG .A0. is `RF=F_(A)+F_(B) cos 45 + F_(C)Cos 45 = ky + 2(ky^(1)) cos 45= ky+2k(ycos45)cos45` `F= -k^(1)y "with"k^(1)=2k implies T= 2pisqrt((m)/(k^(1)))= 2pisqrt((m)/(2k))` |
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