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Ler l be the moment of inertia of a uni...

Ler l be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle `theta` with AB. The moment of inertia of the plate about the axis CD is then equal to

A

`I cos^(2)theta`

B

`I`

C

`I cos^(2)((theta)/(2))`

D

`Isin^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
B

The M.I. for a uniform square plate, about any straight line passing through the centre of the square plate and lying in the plane of the plate is the same. Hence the M.I. will be he same for both AB and CD or `I_(AB)=I_(CD)-I`.
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