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  4. The moment of inertia of a disc of mass M and radius R about an axis, which is tangential to the circumference of the disc and parallel to its diameter, is

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Q. The moment of inertia of a disc of mass $M$ and radius $R$ about an axis, which is tangential to the circumference of the disc and parallel to its diameter, is

JIPMERJIPMER 2018System of Particles and Rotational Motion

Solution:

Moment of inertia of disc about its diameter is $I_{d} = \frac{1}{4} MR^{2}$
MI of disc about a tangent passing through rim and in the plane of disc is
$I=I_{G}+MR^{2}=\frac{1}{4}MR^{2}+MR^{2}=\frac{5}{4}MR^{2}$

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