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Four similar point masses (m each) are s...

Four similar point masses (m each) are symmetrically placed on the circumference of a disc of mass M and radius R. Moment of inertia of the system about an axis passing through centre O and perpendicular to the plane of the disc will be

A

`MR^(2)+4mR^(2)`

B

`MR^(2)+(8)/(5)mR^(2)`

C

`mR^(2)+4MR^(2)`

D

`(MR^(2))/(2)+4mR^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Total moment of inertia of the system
`=(1)/(2)MR^(2)+4mR^(2)=(1)/(2)(M+8m)R^(2)`
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