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PROBLEM 9.120
A thin plate of mass
m
has the trapezoidal shape shown. Determine the mass
moment of inertia of the plate with respect to (
a
) the centroidal axis
CC
′
that is perpendicular to the plate, (
b
) the axis
AA
′
which is parallel to the
x
axis and is located at a distance 1.5
a
from the plate.
SOLUTION
First locate the centroid C
()
(
)
22
2
2
1
:2
2
2
2
3
XA
x
A X a
a
a a
a
Σ=Σ
+
=
+
+ ×
or
14
9
Xa
=
2
2
11
2
23
Z
Az
A
Z
a
a
a
a
a
a
+
=
+
or
4
9
Z
a
=
(
a
) Have
,mass
,mass
yC
C
I
Im
X
Z
′
=+
+
From the solution to Problem 9.117
2
,mass
65
18
y
I
ma
=
Then
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 Spring '08
 Jenkins
 Statics, Moment Of Inertia

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