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A boy of mass 75 kg is running at 5 m/s tangentially to a carousel that...

A boy of mass 75 kg is running at 5 m/s tangentially to a carousel that is initially at rest. The mass of the carousel is M = 500 kg and its radius is R = 3 m. If the boy jumps onto the edge of the carousel, what is the final angular velocity of the (carousel + boy) system? The moment of inertia of a solid disk is 1/2 mr^2. Ignore friction.

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