A cord is wrapped around a pulley that is shaped like a disk of mass mand radius r. The cord's free end is connected to a block of mass M. The block starts from rest and then slides down an incline that makes an angle 0 with the horizontal as shown in Figure P10.48. The coefficient of kinetic friction between block and incline is u. (a) Use energy methods to show that the block's speed as a function of position d down the incline is 4Mgd(sin 0 – µ cos 0) т+ 2M (b) Find the magnitude of the acceleration of the block in terms of µ, m, M, g, and 0. m M Figure P10.48

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A cord is wrapped around a pulley that is shaped like a disk
of mass mand radius r. The cord's free end is connected to a
block of mass M. The block starts from rest and then slides
down an incline that makes an angle 0 with the horizontal
as shown in Figure P10.48. The coefficient of kinetic friction
between block and incline is u. (a) Use energy methods to
show that the block's speed as a function of position d down
the incline is
4Mgd(sin 0 – µ cos 0)
т+ 2M
(b) Find the magnitude of the acceleration of the block in
terms of µ, m, M, g, and 0.
m
M
Figure P10.48
Transcribed Image Text:A cord is wrapped around a pulley that is shaped like a disk of mass mand radius r. The cord's free end is connected to a block of mass M. The block starts from rest and then slides down an incline that makes an angle 0 with the horizontal as shown in Figure P10.48. The coefficient of kinetic friction between block and incline is u. (a) Use energy methods to show that the block's speed as a function of position d down the incline is 4Mgd(sin 0 – µ cos 0) т+ 2M (b) Find the magnitude of the acceleration of the block in terms of µ, m, M, g, and 0. m M Figure P10.48
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