Compute the coordinates of the centroid (, y) of the area shown. Also compute the area moment ofintertia about the x and y axes shown in the figure and the x' and y' axes with origin at the centroid.yy = a/bxBYNCSA2016 Eric DavishahlValues for dimensions on the figure are given in the following table. Note the figure may not be to scale.Variable Valueа2.5 in1.1 in1 (Note the -1 exponent only applies to the unit, not the number.)8 inThe x coordinate of the centroid is a =in.The y coordinate of the centroid is jin.The moment of inertia about the x axis is 1,in“.The moment of inertia about the y axis is Iyin“.The moment of inertia about the x' axis going through the centroid is I'in“.The moment of inertia about the y' axis going through the centroid is Iyin“.

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Compute the coordinates of the centroid (x, ) of the area shown. Also compute the area moment of intertia about the x and y axes shown in the figure and the x' and y' axes with origin at the centroid. y y = a /bx cc 3 BY NC SA 2016 Eric Davishahl 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 1.1 in1 (Note the -1 exponent only applies to the unit, not the number.) с 8 in The x coordinate of the centroid is = in. The y coordinate of the centroid is y in. %3D The moment of inertia about the x axis is I in4. The moment of inertia about the y axis is I, in4. %3D The moment of inertia about the x' axis going through the centroid is I' in“. The moment of inertia about the y' axis going through the centroid is Iy in“.

Compute the coordinates of the centroid (x, ) of the area shown. Also compute the area moment of intertia about the x and y axes shown in the figure and the x' and y' axes with origin at the centroid. y y = a /bx cc 3 BY NC SA 2016 Eric Davishahl 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 1.1 in1 (Note the -1 exponent only applies to the unit, not the number.) с 8 in The x coordinate of the centroid is = in. The y coordinate of the centroid is y in. %3D The moment of inertia about the x axis is I in4. The moment of inertia about the y axis is I, in4. %3D The moment of inertia about the x' axis going through the centroid is I' in“. The moment of inertia about the y' axis going through the centroid is Iy 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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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

Compute the coordinates of the centroid (, y) of the area shown. Also compute the area moment of
intertia about the x and y axes shown in the figure and the x' and y' axes with origin at the centroid.
y
y = a/bx
BY
NC
SA
2016 Eric Davishahl
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
а
2.5 in
1.1 in1 (Note the -1 exponent only applies to the unit, not the number.)
8 in
The x coordinate of the centroid is a =
in.
The y coordinate of the centroid is j
in.
The moment of inertia about the x axis is 1,
in“.
The moment of inertia about the y axis is Iy
in“.
The moment of inertia about the x' axis going through the centroid is I'
in“.
The moment of inertia about the y' axis going through the centroid is Iy
in“.

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