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

A particle of mass 'm' is attached to three identical springs A, B and

1.	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
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. = y cos 45^@ ` , 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 (ycos 45) cos 45` `F=-k^1 y ` with `k^1 = 2k impliesT = 2pi sqrt((m)/(k^1)) = 2pi sqrt((m)/(2k))`