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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
209Harmonic Oscillator
© 2010 Taylor & Francis Group, LLC
This integral (Equation 7.28) is the area in the phase space (p, q); J is known as an action variable
in classical mechanics.
7.3 DAMPED HARMONIC OSCILLATOR
Free oscillation is an ideal physical case. In practice, dissipative forces are always present in any
system. A simple example of the damped oscillator is the free motion of a particle of mass m
attached to a (massless) spring in a resisting medium as shown in Figure 7.8. Let x be the displace-
ment of m from position A at which point the spring is unstretched (of length a). The restoring force
is –kx. We now limit ourselves to the case ...
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Publisher Resources

ISBN: 9781466569980