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The moment of inertia of a uniform semic...

The moment of inertia of a uniform semicircular disc of mass disc through the centre is

A

`(2)/(5)Mr^2`

B

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

C

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

D

`Mr^2`

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) The disc may be assumed as combination of two semi
circular parts.
Let I be the moment of inertia of the uniform semicircular
disc
`rArr 2I = (2Mr^2)/(2) rArr I=(Mr^2)/(2)`
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