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1. A circular plate (radius 2R) with a circular hole (radius R) has a mass M. If the plate is initially placed with a small

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1. A circular plate (radius 2R) with a circular hole (radius R) has a mass M. If the plate is initially placed with a small angle 0 on a horizontal plane as shown on the right, show that the plate shows a simple harmonic motion and then, find the frequency of the motion. The plate is rolling without sliding on P the plane. (10 pts)

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