PROBLEM 9.131
Given the dimensions and the mass
m
of the thin conical shell shown,
determine the moment of inertia and the radius of gyration of the shell
with respect to the
x
axis. (
Hint:
Assume that the shell was formed by
removing a cone with a circular base of radius
a
from a cone with a
circular base of radius
at
+
. In the resulting expressions, neglect terms
containing
t
2
,
t
3
, etc. Do not forget to account for the difference in the
heights of the two cones.)
SOLUTION
First note
hh
at a
′
=
+
or
()
h
ha
t
a
′ =
+
For a cone of height
H
whose base has a radius r, have
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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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