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PROBLEM 9.117
The rhombus shown has a mass
m
and was cut from a thin, uniform plate.
Determine the mass moment of inertia of the rhombus with respect to
(
a
) the
x
axis, (
b
) the
y
axis.
SOLUTION
First note
1
22
2
2
A
ab
a
b
=×
×
=
and
or
2
m
mt
A
t
ab
ρρ
==
Now
()
(
)
3
, area
1
12
DD
I
′
=
3
1
3
ab
=
Then
, mass
, area
DD
DD
It
I
ρ
′′
=
32
11
23
6
m
ab
mb
ab
(
a
)
(
)
3
3
, area
12
3
x
I
ba
a
b
Then
3
, mass
, area
1
xx
m
I
tI
a b
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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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