Chapter 19.2, Problem 19.52P

A compound pendulum is defined as a rigid body that 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 $GA={\bar{k}}^2/\bar{r}$ . Point A is defined as the center of oscillation and coincides with the center of percussion defined in Prob. 17.66.