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Moment of Inertia of a Disc

What is the m...

Question

What is the moment of inertia of a
(i ) uniform circular ring of mass $2 k g$ about its $4 m$ diameter ?
(ii) a thin disc about an axis coinciding with a diameter ?

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Solution

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(i) $I_{y} = I_{x} = \frac{M r^{2}}{2} = \frac{2 \times (2)^{2}}{2} = 4 k g . m^{2}$
(ii) $I_{y} = I_{x} = \frac{M R^{2}}{4}$
$= \frac{2 \times (2)^{2}}{4} = 2 k g . m^{2}$

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