A mass attached to a spring oscillates with a period of 315

A mass attached to a spring oscillates with a period of 3.15 s.

(a) If the mass starts from rest at x = 0.0480 m and time t = 0, where is it at time t = 6.51 s?

Angular velocity of shm = 360º/3.15 s

= 113.2º/s

Amplitude of shm, A = 0.048 m

Displacement x is given by,

x = A*cos(t)

x = 0.048 * cos(113.2* 6.51)º

x = 0.048 * cos (736.932)

x = - 0.0108739 m