Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. b * a a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 40 cm 23 cm 49 cm The x coordinate of the centroid is a = cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I cm4. The moment of inertia about the y' axis going through the centroid is I, cm4.

Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. b * a a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 40 cm 23 cm 49 cm The x coordinate of the centroid is a = cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I cm4. The moment of inertia about the y' axis going through the centroid is I, cm4.

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 (x, y) of the area shown. Also compute the area moment of
intertia about the x' and y' axes with origin at the centroid.
C
a *b*a
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable
Value
a
40 cm
23 сm
49 cm
The x coordinate of the centroid is x
cm.
The
coordinate of the centroid is y
cm.
The moment of inertia about the x' axis going through the centroid is I,'
cm4.
The moment of inertia about the y' axis going through the centroid is I,"
cm4.

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