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A wire frame AOPQB, lying in the horizon...

A wire frame AOPQB, lying in the horizontal plane, is free to rotate about a vertical axis passing through center C of the same circle and `_|_` to plan of AOPQB. The mass M of the frame is uniformly distributed over its whole length. The moment of inertia of the frame about this axis, is ( OA=QB-r and CP =r the ratio of semicircular part)

A

`Mr^(2) ((14+3pi )/( 3pi + 6))`

B

`Mr^(2)((pi+r)/( pi + 2r))`

C

`Mr^(2) ((3)/(4) pi ) `

D

`(1)/(2) Mr^(2)`

Text Solution

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The correct Answer is:
A
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