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The coordinates of centre of mass of the...

The coordinates of centre of mass of the following quarter circular are is -

A

`(r/2,r/2)`

B

`((2r)/3,(2r)/3)`

C

`((2r)/pi,(2r)/pi)`

D

`((4r)/pi,(4r)/pi)`

Text Solution

Verified by Experts

The correct Answer is:
D

`"dm"=lambdaRd theta=(2m)/(pi)d theta`
`thereforex_(cm)=1/m intxdm`
`=1/m underset(0)overset(pi//2)intR costheta(2m)/pid theta`
`"Similarly "y_(cm)=1/m underset0 overset(pi//2)int R sin.theta(2m)/pi d theta`
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