A long uniform rod of length L and mass M is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in a vertical position, as shown in Figure P10.61. At the instant the rod is horizontal, find
(a) Its angular speed,
(b) The magnitude of its angular acceleration,
(c) The x and y components of the acceleration of its center of mass, and
(d) The components of the reaction force at the pivot.

L. Pivot Figure P10.61