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A uniform semicircular disc of mass 'm' ...

A uniform semicircular disc of mass `'m'` and radius `'R'` is shown in the figure. Find out its moment of inertia about.
`(a)` axis `'AB' (` shown in the figure `0` which passes through geometrical centre and lies in the plane of the disc
`(b)` axis `'CD'` which passes through its centre of mass and it is perpendicular to the plane of the disc.

A

`(MR^2)/2-M((2R)/pi)^2`

B

`(MR^2)/2-M((4R)/pi)^2`

C

`(MR^2)/2-M((4R)/(3pi))^2`

D

`(MR^2)/2+M((2R)/(pi))^2`

Text Solution

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The correct Answer is:
B
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