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
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
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter7: Work And Kinetic Energy
Section: Chapter Questions
Problem 91AP: At hokey puck of mass 0.17 kg is shot across a rough floor with the roughness different at different...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18b95594-0d47-4103-82b7-98ccf38c9faf%2Fbb8905a6-0d9b-4a82-b0bb-c31f59c292ee%2Fvrttobc.png&w=3840&q=75)
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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