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ABCD is a square plate with centre O. Th...

`ABCD` is a square plate with centre `O`. The moments of inertia of the plate about the perpendicular axis through `O` is `I` and about the axes `1, 2, 3, & 4` are `I_(1),I_(2),I_(3) & I_(4)` respectively. It follows that :
.

A

`I_(1) + I_(2)`

B

`I_(3) + I_(4)`

C

`I_(1) + I_(3)`

D

`I_(1) + I_(2) + I_(3) + I_(4)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
According to theorem of perpendicular axes,
`I = I_(1) + I_(2)` and `I = I_(3) + I_(4)`
Also `I_(2) = I_(3) :. I = I_(1) = I_(3)`
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