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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
412 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
constant in time. The line dened by this constant vector
L
is called the invariable line. The kinetic
energy T
rot
is a second constant of the motion for the torque-free motion. Multiply the rst of the
Euler Equations 12.82 by ω
1
, the second by ω
2
, and the third by ω
3
, and add, we get
d
dt
IIIN
NN
1
2
11
2
22
2
33
2
11 22
33
ωωωω
ωω
++
()
=++
. (12.93)
The left-hand side is the time rate of change of the kinetic energy; the right-hand side is the rate
at which the applied torque works. Thus, in the absence of external torque, the kinetic energy is
constant.
The rotational kinetic energy T
rot
can b ...
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Publisher Resources

ISBN: 9781466569980