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Q. The moment of inertia of a uniform ring of mass $M$ and radius $r$ about a tangent lying in its own plane is

System of Particles and Rotational Motion

Solution:

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Moment of inertia of ring about his axis of rotation
$I=Mr^{2}$
According to the parallel axis theorem
$I=Mr^{2}+Mr^{2}$
$I=2\,Mr^{2}$