out the ar and y axes shown in the figure and the z' and y' axes with origin at the centroid. y = a√bx
out the ar and y axes shown in the figure and the z' and y' axes with origin at the centroid. y = a√bx
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
Related questions
Question
![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*.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5045b7e9-e92c-4a16-aa82-76599f5eb7ca%2F6891e7c2-0b8d-4541-a16c-3e37072d2b99%2Fe5wkr9f_processed.jpeg&w=3840&q=75)
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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