question archive An h=2 m tall professor of mass m=80 kg is moving at 0=1 m/s towards a chain which catches his foot, exactly at ground level

An h=2 m tall professor of mass m=80 kg is moving at 0=1 m/s towards a chain which catches his foot, exactly at ground level

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An h=2 m tall professor of mass m=80 kg is moving at 0=1 m/s towards a chain which catches his foot, exactly at ground level. Treat the professor as a uniform rigid rod.

Just prior to touching the chain, the professor's angular momentum is given by velocity times mass times the vertical distance from center of mass to chain. Angular momentum is conserved in collision with the chain. (Why?)

Which of the following gives the professor's angular velocity right after his foot is caught on the chain?

A. Wf = vi/h

B. Wf = 3/2 vi/h

C. Wf = 2/3 vi/h

D. Wf = 6 vi/h

E. Wf = 3 vi/h

 

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