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One quarter sector is cut from a uniform...

One quarter sector is cut from a uniform circular disc of radius R. This sector has mass M. it is made to rotate about a line perpendicular to its plane and passing through the center of the original disc. Its moment of inertia about the axis of rotation is

A

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

B

`(1//4)MR^(2)`

C

`(1//8)MR^(2)`

D

`sqrt(2)MR^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
If this sector has mass M then the mass of complete disc would be 4M let the required M.I. = I
`rArr 4I = 1/2 (4M) R^(2) rArr I=1/2 MR^(2)`
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