Solve the below problem:
Q: A small 2-kg sphere B is attached to the bar AB of negligible mass which is supported at A by a pin and bracket and connected at C to a moving support D by means of a spring of constant k = 3.6kN/m. Knowing that support D undergoes a vertical displacement d = dm sin ωft, where dm = 3 mm and ωf = 15 rad/s, determine
(a) The magnitude of the maximum angular velocity of bar AB,
(b) The magnitude of the maximum acceleration of sphere B.
