A thin circular rod is supported in a vertical plane by a bracket at A. Attached to

Question:

A thin circular rod is supported in a vertical plane by a bracket at A. Attached to the bracket and loosely wound around the rod is a spring of constant k = 40 N/m and undeformed length equal to the arc of circle AB. A 200-g collar C is unattached to the spring and can slide without friction along the rod. Knowing that the collar is released from rest when θ = 30o, determine

(a) The velocity of the collar as it passes through point B,

(b) The force exerted by the rod on the collar as is passes through B.