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Q.

Moment of inertia of a square sheet about one side is I. Then the moment of inertia of the same square sheet about one of its diagonals is

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An Intiative by Sri Chaitanya

a

I6

b

I3

c

I4

d

I2

answer is C.

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Detailed Solution

(3)It  l  be  the  length  of each  side,  Then  I=13  ml2∴   Ix'=IAB− m.a22=13 ml2−14 ma2=112 ma2By  perpendicular  axis  theoremIo=Ixi + Iyj = 2IxAlso  Io=IAC+IBO=2IAC∴   IAC=Ix=112 mx2=112 ×  3I=14I.
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