Standing on the edge of a rotating playground carousel, you take sight on the center of the

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Standing on the edge of a rotating playground carousel, you take sight on the center of the carousel and walk directly toward that position.

(a) What happens to the rotational speed of the carousel as you walk?

(b) In the system consisting of only the carousel (a nonisolated system), any change in angular momentum is due to a torque. Because the hub of the carousel is well lubricated, the only candidate for what causes this torque is the force of friction exerted by your feet on the carousel. "But," you say, "I walked radially inward. How could I possibly cause a torque with my feet?" What's going on?

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