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Two discs A and B of same mass M and rad...

Two discs A and B of same mass M and radius R are connected to one another to form single rigid body. Moment of inertia of this attachment about an axis normal to the plane of discA and passing through its centre is

A

`2MR^2`

B

`3MR^2`

C

`3/2 MR^2`

D

`5 MR^2 `

Text Solution

Verified by Experts

The correct Answer is:
D
Here `I_A = (MR^2)/(2)`
`I_(AB) = I_A + M(2R)^2 ` from theorem of parallel axis
`I_(AB) = (MR^2)/2 + M4R^2 = 9/2 MR^2`
Then `I = I_A + I_(AB) = (MR^2)/(2) + (9MT^2)/2 = 5MR^2`
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