A uniform rod of length a is freely pivoted at one end. It is initially held horizontally and then released from rest. What is the angular velocity at the instant when the rod is vertical? When the rod is vertical it breaks at its midpoint. What is the largest angle from the vertical reached by the upper part of the rod in its subsequent motion? Describe the motion of the lower part of the rod. (Assume that no impulsive forces arc generated when the rod breaks.)