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A square lamina of side a and a circular...

A square lamina of side a and a circular lamina of diameter a are placed touching each other as shown in figure. Find distance of their centre of mass from point O, the centre of sqaure.

Text Solution

Verified by Experts

The correct Answer is:
A, D
`d=(A_1d_1+A_2d_2)/(A_1+A_2)`
Here, `d="distance of centre of mass from" O`.
`:. d=((a^2)(0)+(pi/4a^2)(a))/(a^2+(pi//4)a^2)`
`=((pi)/(pi+4))a`
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