4. Please make work and answers legible and easy to find. Thank you! Compute the coordinates of the centroid (7, 9) of the area shown. Also compute the area moment ofintertia about the r and y axes shown in the figure and the z' and y' axes with origin at the centroid.yy = a /bxValues for dimensions on the figure are given in the following table. Note the figure may not be to scale.Variable Valuea2.5 in1.4 in 1 (Note the -1 exponent only applies to the unit, not the number.)6 inThe a coordinate of the centroid isin.The y coordinate of the centroid is j =in.The moment of inertia about the a axis is I,int.The moment of inertia about the y axis is I, =int.The moment of inertia about the a' axis going through the centroid is I,in“.The moment of inertia about the y' axis going through the centroid is I,in“.||

A=∫0cydx=∫0cabxdxA=ab c3232A=86.95 in2x¯=∫xdA∫dA=∫0cxabx dx86.95x¯=ab ∫0cx32dx86.95x=abc5286.95…

Compute the coordinates of the centroid (7, 9) of the area shown. Also compute the area moment of intertia about the z and y axes shown in the figure and the r' 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 scal Variable Value a 2.5 in 1.4 in1 (Note the -1 exponent only applies to the unit, not the number.) c 6 in The a coordinate of the centroid is ā = in. The y coordinate of the centroid is j = in. The moment of inertia about the r axis is I, in“. The moment of inertia about the y axis is I, = in“. %3D The moment of inertia about the a' axis going through the centroid is I, in. The moment of inertia about the y' axis going through the centroid is I, in.

Compute the coordinates of the centroid (7, 9) of the area shown. Also compute the area moment of intertia about the z and y axes shown in the figure and the r' 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 scal Variable Value a 2.5 in 1.4 in1 (Note the -1 exponent only applies to the unit, not the number.) c 6 in The a coordinate of the centroid is ā = in. The y coordinate of the centroid is j = in. The moment of inertia about the r axis is I, in“. The moment of inertia about the y axis is I, = in“. %3D The moment of inertia about the a' axis going through the centroid is I, in. The moment of inertia about the y' axis going through the centroid is I, in.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

4. Please make work and answers legible and easy to find. Thank you!

Compute the coordinates of the centroid (7, 9) of the area shown. Also compute the area moment of
intertia about the r and y axes shown in the figure and the z' 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
2.5 in
1.4 in 1 (Note the -1 exponent only applies to the unit, not the number.)
6 in
The a coordinate of the centroid is
in.
The y coordinate of the centroid is j =
in.
The moment of inertia about the a axis is I,
int.
The moment of inertia about the y axis is I, =
int.
The moment of inertia about the a' axis going through the centroid is I,
in“.
The moment of inertia about the y' axis going through the centroid is I,
in“.
||

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