Solve the below problem:
Q: A 2-kg block A slides in a vertical frictionless slot and is connected to a moving support B by means of a spring AB of constant k = 117N/m. Knowing that the displacement of the support is d = dm sinβft where dm = 100mm and βf = 5rad/s, determine
(a) The amplitude of the motion of the block,
(b) The amplitude of the fluctuating force exerted by the spring on the block.