Compute the coordinates of the centroid (a, 9) of the area shown. Also compute the area moment ofintertia about the x' and y' axes with origin at the centroid.2013 Michael SwanbomBY NCSAak dbValues for dimensions on the figure are given in the following table. Note the figure may not be to scale.VariableValuea24 mm126 mm23 mmd71 mmh120 mm24 mmThe x coordinate of the centroid is x =mm.The y coordinate of the centroid is ymm.The moment of inertia about the x' axis going through the centroid is I' =mm4.The moment of inertia about the y' axis goingough the centroid is I,mm4.

Answered: Compute the coordinates of the centroid…

Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the a' and y' axes with origin at the centroid. 2013 Michael Swanbom cc OSO BY NC SA a

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.43P

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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 (a, 9) of the area shown. Also compute the area moment of
intertia about the x' and y' axes with origin at the centroid.
2013 Michael Swanbom
BY NC
SA
a
k d
b
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable
Value
a
24 mm
126 mm
23 mm
d
71 mm
h
120 mm
24 mm
The x coordinate of the centroid is x =
mm.
The y coordinate of the centroid is y
mm.
The moment of inertia about the x' axis going through the centroid is I' =
mm4.
The moment of inertia about the y' axis going
ough the centroid is I,
mm4.

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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. ур 2013 Michael Swanbom cc 130 (CC) BY NC SA с a + x a – Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 20 cm b 9 cm с 24 cm The x coordinate of the centroid is x = 0 ☑ cm. The У coordinate of the centroid is y = 23.1 × cm. The moment of inertia about the x' axis going through the centroid is I 154960 = × cm4. The moment of inertia about the y axis going through the centroid is Iy = 154960 ☑ cm4.
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