Q.

If the moment of inertia of a disc about an axis tangentially and parallel to its surface be I, what will be the moment of inertia about the axis tangential but perpendicular to the surface-

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a

65I

b

34I

c

32I

d

54I

answer is A.

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Detailed Solution

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==MR24+MR2=54MR2 ⇒MR2=4I5 given by I′=MR22+MR2=32MR2=324I5=6I5
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If the moment of inertia of a disc about an axis tangentially and parallel to its surface be I, what will be the moment of inertia about the axis tangential but perpendicular to the surface-