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A small hole is made in a disc of mass M...

A small hole is made in a disc of mass `M` and radius `R` at a distance `R//4` from centre. The disc is supported on a horizontal peg through this hole. The moment of inertia of the disc about horizontal peg is

A

`(MR^(2))/9`

B

`5/16MR^(2)`

C

`9/16MR^(2)`

D

`5/4MR^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Applying theorem of parallel axes.
`I=(MR^(2))/2+M(R/4)^(2),I=(MR^(2))/2+(MR^(2))/16, I+(9MR^(2))/16`
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Knowledge Check

  • A circular disc of mass M and radius R is suspended from a nail in the wall. The nail is fixed very near to the rim of the disc. The moment of inertia of the disc about an axis along the nail is

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