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Q.

If the moment of inertia of a disc about an axis tangential in its plane be I, then what will be the moment of inertia about the axis tangential but perpendicular to its plane?

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a

32I

b

54I

c

65I

d

34I

answer is A.

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Detailed Solution

The moment of inertia of the disc about an axis parallel to its plane is

It=Id+MR2I=14MR2+MR2=54MR2     or     MR2=4I5

Now, moment of inertia about a tangent perpendicular to its plane is

I|=32MR2=32×45I=65I

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