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Questions  

If the moment of inertia of a disc about al axis  tangentially and parallel to its surface be I, then what will be the moment of inertia about the axis tangential but Perpendicular to the surface.

a
65I
b
34I
c
32I
d
54I

detailed solution

Correct option is A

According to the theorem of parallel axes, the moment of inertia of the disc about an axis tangentially and parallel to the surface is given byI=I11=MR24+MR2=54MR2The moment of inertia of the disc about an axis tangential but perpendicular to the surface is given byI′=I⊥=MR22+MR2=32MR2=6554MR2=65I

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