Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the a' and y' axes with origin at the centroid. 2013 Michael Swanbom cc OSO BY NC SA a

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.43P
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Compute the coordinates of the centroid (a, 9) of the area shown. Also compute the area moment of
intertia about the x' and y' axes with origin at the centroid.
2013 Michael Swanbom
BY NC
SA
a
k d
b
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable
Value
a
24 mm
126 mm
23 mm
d
71 mm
h
120 mm
24 mm
The x coordinate of the centroid is x =
mm.
The y coordinate of the centroid is y
mm.
The moment of inertia about the x' axis going through the centroid is I' =
mm4.
The moment of inertia about the y' axis going
ough the centroid is I,
mm4.
Transcribed Image Text:Compute the coordinates of the centroid (a, 9) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. 2013 Michael Swanbom BY NC SA a k d b Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 24 mm 126 mm 23 mm d 71 mm h 120 mm 24 mm The x coordinate of the centroid is x = mm. The y coordinate of the centroid is y mm. The moment of inertia about the x' axis going through the centroid is I' = mm4. The moment of inertia about the y' axis going ough the centroid is I, mm4.
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