A compound pendulum is defined as a rigid slab which oscillates about a fixed point O, called

Question:

A compound pendulum is defined as a rigid slab which oscillates about a fixed point O, called the center of suspension. Show that the period of oscillation of a compound pendulum is equal to the period of a simple pendulum of length OA, where the distance from A to the mass center G is GA = k??2r. Point A is defined as the center of oscillation and coincides with the center of percussion defined in Prob. 17.57.