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A circular disc D(1) of mass M and radi...

A circular disc `D_(1)` of mass M and radius R has two identical disc `D_(2)` and `D_(3)` of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO, passing through the centre of `D_(1)` as shown in the figure, will be :

A

`4/5MR ^(2)`

B

`2/3 MR ^(2)`

C

`MR ^(2)`

D

`3MR^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`I _(OO')=2 ((m R ^(2))/(4) + mR ^(2)) + (mR ^(2))/(2) = 3m R ^(2).`
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