A winch with a drum of radius R pulls à 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 Ar. G

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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 Ar.
P =
Incorrect
mgRéu cos (8)+sin())
At
Transcribed Image Text: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 Ar. P = Incorrect mgRéu cos (8)+sin()) At
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