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There is a thin uniform disc of radius R...

There is a thin uniform disc of radius R and mass per unit area σ in which a hole of radius `R//2` has been cut out as shown in the figure. Inside the hole, a square plate of same mass per unit area σ is inserted so that its corners touch the periphery of the hole. The distance of the centre of mass of the system from the origin is

A

`(R(2 - pi))/(2(3pi + 2))`

B

`(R(1-pi))/(2(2pi + 1))`

C

`(2Rpi)/(2(3pi + 2))`

D

`(3Rpi)/(2(2pi + 1))`

Text Solution

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The correct Answer is:
A
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