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  4. Moment of inertia of a circular wire of mass M and radius R about its diameter is :

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Q. Moment of inertia of a circular wire of mass $M$ and radius $R$ about its diameter is :

AIEEEAIEEE 2002System of Particles and Rotational Motion

Solution:

Moment of inertia of circular wire about its axis is $M R^{2}$, Consider two diameters $X X$ and $Y Y$ moment of inertia about any of this diameter is same let us say $I$.
From perpendicular axis theorem, $I+I=M R^{2}$
$I=\frac{M R^{2}}{2}$
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