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 point A is defined as the center of oscillation and coincides with the center of percussion defined in Prob. 17.66.

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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 point A is defined as the center of oscillation and coincides with the center of percussion defined in Prob. 17.66.

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