PROBLEM 9.178
Given an arbitrary body and three rectangular axes
x
,
y
, and
z
, prove that
the moment of inertia of the body with respect to any one of the three axes
cannot be larger than the sum of the moments of inertia of the body with
respect to the other two axes. That is, prove that the inequality
xyz
I
II
≤
+
and the two similar inequalities are satisfied. Further, prove that
1
2
yx
I
I
≥
if the body is a homogeneous solid of revolution, where
x
is the axis of
revolution and
y
is a transverse axis.
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.
 Spring '08
 Jenkins
 Statics, Moment Of Inertia

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