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PROBLEM 9.108
For a given area the moments of inertia with respect to two rectangular
centroidal
x
and
y
axes are
x
I
=
640
4
in and
y
I
=
280
4
in , respectively.
Knowing that after rotating the
x
and
y
axes about the centroid 60°
clockwise the product of inertia relative to the rotated axes is
−
180
4
in ,
use Mohr’s circle to determine (
a
) the orientation of the principal axes,
(
b
) the centroidal principal moments of inertia.
SOLUTION
Have
()
( )
44
4
ave
11
640 in
280 in
460 in
22
xy
II
I
=+
=
+
=
4
640 in
280 in
180 in
−=
−
=
Also have
4
180 in ,
2
120 ,
x
yx
y
I
θ
′′
=−
°
>
Letting the points
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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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