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Let I be the moment of interia of a unif...

Let `I` be the moment of interia of a uniform square plate about an axis `AB` that passses through its centre and is parallel to two 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

B

`I sin^(2) theta`

C

`I cos^(2) theta`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
`I_(AB) = I_(AB) = I_(CD) + I_(CD)`
`2I_(AB) = 2I_(CD)`
`I_(AB) = I_(CD)`
`I_(CD) = I`
.
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