A winch with a drum of radius R pulls a block at constant speed up a rough incline. The winch is attached to the block with a lightweight, thin cable that runs over a massless roller pulley that turns without friction, as shown. The mass of the block is M, the coefficient of kinetic friction between the block and the incline is μ, and the angle of the incline is 0. Let g denote the acceleration due to gravity. Derive an algberaic expression for the power P supplied by the winch if the winch turns through a total angular displacement during a time interval At.

A winch with a drum of radius R pulls a block at constant speed up a rough incline. The winch is attached to the block with a lightweight, thin cable that runs over a massless roller pulley that turns without friction, as shown. The mass of the block is M, the coefficient of kinetic friction between the block and the incline is μ, and the angle of the incline is 0. Let g denote the acceleration due to gravity. Derive an algberaic expression for the power P supplied by the winch if the winch turns through a total angular displacement during a time interval At.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.31P

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