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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

`sqrt2MR^2`

Text Solution

Verified by Experts

The correct Answer is:
A
The mass distribution of this sector is same about the axis of rotation as
that of the complate disc about the
axis. Therfore the formula remains the same as that of
the disc.
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