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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
545Lagrangian and Hamiltonian Formulations for Continuous Systems
© 2010 Taylor & Francis Group, LLC
Equation 16.33 becomes
Q
tkxtkx
tk
x
=
−+ −−+
2
22
22
2
1
2
co
sc
os
cos(
ωω ω
ω
ΔΔ
ΔΔ
Δ tkxtkx−−Δ)cos( ).ω
(16.34)
This represents an oscillation of the original frequency ω but with a modulated amplitude as
shown in Figure 16.5. A given segment of the wave system, such as AB, can be regarded as a “wave
packet” and moves with a velocity V
g
(not determined yet). Because Δk k, this segment contains a
large number of oscillations of the primary wave that moves with the phase velocity V. The velocity
V
g
with which the modulated amplitude propagates is called the g ...
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Publisher Resources

ISBN: 9781466569980