out the ar and y axes shown in the figure and the z' and y' axes with origin at the centroid. y = a√bx

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Compute the coordinates of the centroid (, ) of the area shown. Also compute the area moment of intertia
about the x and y axes shown in the figure and the 2' and y' axes with origin at the centroid.
y
y = a√bx
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
a
5 in
b
1.9 in ¹
(Note the -1 exponent only applies to the unit, not the number.)
с
6 in
The a coordinate of the centroid is ==
in.
The y coordinate of the centroid is
in.
The moment of inertia about the z axis is I =
in4.
in1.
M
The moment of inertia about the y axis is I,
The moment of inertia about the z' axis going through the centroid is I. =
The moment of inertia about the y' axis going through the centroid is I,.
=
in4.
in*.
Transcribed Image Text:Compute the coordinates of the centroid (, ) of the area shown. Also compute the area moment of intertia about the x and y axes shown in the figure and the 2' and y' axes with origin at the centroid. y y = a√bx Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5 in b 1.9 in ¹ (Note the -1 exponent only applies to the unit, not the number.) с 6 in The a coordinate of the centroid is == in. The y coordinate of the centroid is in. The moment of inertia about the z axis is I = in4. in1. M The moment of inertia about the y axis is I, The moment of inertia about the z' axis going through the centroid is I. = The moment of inertia about the y' axis going through the centroid is I,. = in4. in*.
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