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2nd Edition
Gary L. Gray
The Pennsylvania State University
Francesco Costanzo
The Pennsylvania State University
Michael E. Plesha
University of Wisconsin–Madison
Version: May 30, 2012
Dynamics 2e 3
Important Information about
http://www.mhhe.com/pgc
often to obtain the most up-to-date version. In particular, as of December 16, 2009, please note the following:
_The solutions for Chapters 1, 2, and 4–9 have been accuracy checked and are in their final form.
_
The solutions for Chapter 3 have been accuracy checked and should be error free. We will be adding
some additional detail to these solutions in the coming weeks.
_
The solutions for Chapter 10 are a work in progress. The solutions for the first 29 problems in the
We welcome your input.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Accuracy of Numbers in Calculations
Throughout this book, we will generally assume that the data given for problems is accurate to three significant
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Chapter 6 Solutions
Problem 6.1
The velocities of points
A
and
B
on a disk, which is undergoing planar
motion, are such that
jEvAj D jEvBj
. Is it possible for the disk to be rotating
about a fixed axis going through the center of the disk at O? Explain.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 1155
Problem 6.2
The velocity of a point
A
and the acceleration of a point
B
on a disk
undergoing planar motion are shown. Is it possible for the disk to be
rotating about a fixed axis going through the center of the disk at
O
?
Explain.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Problem 6.3
Assuming that the disk shown is rotating about a fixed axis going through
its center at O, determine whether the disk’s angular velocity is constant,
increasing, or decreasing.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 1157
Problem 6.4
Do points
A
and
B
on the surface of the bevel gear (bg), which rotates with angular
velocity
!bg
, move relative to each other? At what rate does the distance between
A
and Bchange?
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Problem 6.5
Letting
RAD8in:
,
RBD4:2 in:
, and
RCD6:5 in:
, determine the angular velocity of gears
B
and
C
when gear Ahas the angular speed j!Aj D 945 rpm in the direction shown.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 1159
Problem 6.6
Letting
RAD7:2 in:
and
RBD4:6 in:
, and assuming that the belt does not slip relative to pulleys
A
and
B
, determine the angular velocity and angular acceleration of pulley
B
when pulley
A
rotates at
340 rad=s
while accelerating at 120 rad=s2.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
