Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 10, Problem 48CP
A cord is wrapped around a pulley that is shaped like a disk of mass m and 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 θ with the horizontal as show n in Figure P10.48. The coefficient of kinetic friction between block and incline is μ. (a) Use energy methods to show that the block’s speed as a function of position d down the incline is
(b) Find the magnitude of the acceleration of the block in terms of μ, m, M, g, and θ.
Figure P10.48
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Students have asked these similar questions
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
Computation.
The figure shows two blocks, released from rest, connected by a light string passing
without slipping over a pulley with moment of inertia 0.032 kg-m² and radius 0.1 m. The
coefficient of kinetic friction between the block and the table is 0.38. Using energy
methods, find the blocks' speed after they have moved 0.22 m if M = 5.2 kg and m =
7.3 kg.
V=
M
11
m/s
m
Record your numerical answer below, assuming three significant figures. Remember to include a
as necessary.
31
6:37 P
Chapter 10 Solutions
Physics for Scientists and Engineers with Modern Physics
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