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, not attached to the spring, can slide without friction along the rod. Knowing that the collar is released from rest at an angle θ with respect to the vertical, determine

(a) The smallest value of θ for which the collar will pass through D and reach point A,

(b) The velocity of the collar as it reaches point A.