Compute the coordinates of the centroid (ī, g) of the area shown. Also compute the area moment of intertia about the z' and y' axes with origin at the centroid. 2013 Michael Swanbom BY NC SA a kd Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 14 mm 111 mm 12 mm d 45 mm h 89 mm w 22 mm The z coordinate of the centroid is a = mm. The y coordinate of the centroid is j mm. The moment of inertia about the z' axis going through the centroid is Iz. mm*. The moment of inertia about the y' axis going through the centroid is Iy. mm*.

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 (î, g) of the area shown. Also compute the area moment of
intertia about the r' and y' axes with origin at the centroid.
2013 Michael Swanbom
cc
BY NC SA
a
k-d
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
a
14 mm
111 mm
12 mm
d
45 mm
h
89 mm
w
22 mm
The z coordinate of the centroid is a =
mm.
The y coordinate of the centroid is j
mm.
The moment of inertia about the z' axis going through the centroid is Iz
mm.
The moment of inertia about the y' axis going through the centroid is Iy =
mm*.
Transcribed Image Text:Compute the coordinates of the centroid (î, g) of the area shown. Also compute the area moment of intertia about the r' and y' axes with origin at the centroid. 2013 Michael Swanbom cc BY NC SA a k-d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 14 mm 111 mm 12 mm d 45 mm h 89 mm w 22 mm The z coordinate of the centroid is a = mm. The y coordinate of the centroid is j mm. The moment of inertia about the z' axis going through the centroid is Iz mm. The moment of inertia about the y' axis going through the centroid is Iy = mm*.
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