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Locate the center of gravity of the sheet-metal form shown.

Question-Answer › Category: Engineering Mechanics › Locate the center of gravity of the sheet-metal form shown.
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Kristin asked 1 year ago

Locate the center of gravity of the sheet-metal form shown.

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Sazid Ahmad answered 1 year ago

 

Step: 1

Let us draw a diagram of the sheet metal form.

 

Step: 2

Assume that the body is homogeneous so that its center of gravity coincides with the centroid of the area.
By symmetry, 



 

Step: 3

We know that, . Substitute the known values in the expression.


 

Step: 4

We know that, 
Substitute the known values in the expression.


Therefore, the coordinates of the center of gravity are .

 

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