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The pulley in Fig. P9.75 has radius R and a moment of

Chapter 11, Problem 83P

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QUESTION:

The pulley in ?Fig. P9.75? has radius R and a moment of inertia ?I?. The rope does not slip over the pulley, and the pulley spins on a frictionless axle. The coefficient of kinetic friction between block A and the tabletop is µk. The system is released from rest, and block B descends. Block A has mass mA and block B has mass mB. Use energy methods to calculate the speed of block B as a function of the distance d? that it has descended.

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QUESTION:

The pulley in ?Fig. P9.75? has radius R and a moment of inertia ?I?. The rope does not slip over the pulley, and the pulley spins on a frictionless axle. The coefficient of kinetic friction between block A and the tabletop is µk. The system is released from rest, and block B descends. Block A has mass mA and block B has mass mB. Use energy methods to calculate the speed of block B as a function of the distance d? that it has descended.

ANSWER:

Solution 83P Step 1: Let the whole system shifted a distance “d”. The change in potential energy of block B is, P.E = m gd. B B

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