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Consider a uniform square plate of side ...

Consider a uniform square plate of side 'a' and mass 'm' The moment of inertia of heis plate about an axis perpendiucalar to its plane and passing through one of its corners is

A

`(7)/(12)ma^(2)`

B

`(1)/(12)ma^(2)`

C

`(5)/(6)ma^(2)`

D

`(2)/(3)ma^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
The M.I. of the plate about on axis passing through A and perpendicular to the plane of the plate is given by
`I_(A)=I_(0)+m(AO)_(2)" (By parallel axes theorem)"`
`=(ma^(2))/(6)+m.(a^(2))/(2)`
`thereforeI_(A)=(2)/(3)ma^(2)`
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