Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 10, Problem 92CP
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
A playground ride consists of a disk of mass M=48 kg and radius R=1.6 m mounted on a low-friction axle (see figure below). A child of mass m=22 kg runs at speed v=2.8 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. What is the change in the kinetic energy of the child plus the disk?
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, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
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