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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-

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a
65I
b
34I
c
32I
d
54I
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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==MR24+MR2=54MR2 ⇒MR2=4I5 given by I′=MR22+MR2=32MR2=324I5=6I5

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The moment of inertia of a circular disc of radius 2 m and mass 2 kg, about an axis passing through its centre of mass is 2 kg –${m}^{2}$ . Its moment of inertia about an axis parallel to this axis and passing through its edge (in Kg -${m}^{2}$) is

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