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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
402 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
Grouping coefcients of α
2
, β
2
, γ
2
, and so forth, and using the denitions of moments and prod-
ucts of inertia, we obtain
I
λ
= α
2
I
xx
+ β
2
I
yy
+ γ
2
I
zz
− 2αβI
xy
− 2αγI
xz
− 2βγI
yz
. (12.61)
From Equation 12.61, we can calculate the moment of inertia about any axis through O if the
moments and products of inertia with respect to the coordinate axes are known. This, in turn, can
be related, with the aid of the parallel-axis theorem, to the moment of inertia about a parallel axis
passing through the CM.
Equation 12.61 has a geometrical interpretation. As we allow α, β, and γ to vary, we nd moments ...
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Publisher Resources

ISBN: 9781466569980