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(15) A person stands on an initially stationary table that is free to rotate without friction....

(15) A person stands on an initially stationary table that is free to rotate without friction. He begins to spin a heavy ball which is tied on the end of a 1 meter chain above his head. The ball is 2kg and makes 1 revolution every 3 seconds. The table and person have a moment of inertia of 0.5 kg m2 . Assume the ball may be modeled as a point mass (I = MR2 ). a) Determine the angular speed of the person on the table once he begins to spin the heavy ball. b) Determine the combined (total) kinetic energy of the heavy mass, the person and table once the ball is spun.

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