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PROBLEM 9.109
It is known that for a given area
4
300 in
y
I
=
and
4
125 in
xy
I
=−
,
where the
x
and
y
axes are rectangular centroidal axes. If the axis
corresponding to the maximum product of inertia is obtained by rotating
the
x
axis
o
67.5 counterclockwise about
C
, use Mohr’s circle to
determine (
a
) the moment of inertia
x
I
of the area, (
b
) the principal
centroidal moments of inertia.
SOLUTION
First assume
x
y
I
I
>
(Note: Assuming
x
y
I
I
<
is not consistent with the requirement that the axis corresponding to the
()
max
xy
I
is
obtained by rotating the
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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

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