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Consider a rectangular plate of dimensio...

Consider a rectangular plate of dimensions `axxb`. If this plate is considered to be made up of four rectangles of dimensions `a/2xxb/2` and we now remove one out of four rectangles. Find the position where the centre of mass of the remaining system will lie?

Text Solution

Verified by Experts

The correct Answer is:
A, B
`x_(CM)=(A_1x_1-A_2x_2)/(A_1-A_2)`
`=((ab)(0)-((ab)/(4))(a/4))/(ab-(ab)/(4))`
`=-a/12`
`y_(CM)=(A_1y_1-A_2y_2)/(A_1-A_2)`
`=((ab)(0)-((ab)/(4))(b/4))/(ab-(ab)/(4))`
`=-b/12`
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