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