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Q.

Moment of inertia of a uniform circular disc about a diameter is $I$ . Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be $x I$ . The value of ‘ $x$ ’ is_________

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answer is 6.

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Detailed Solution

$I = \frac{1}{4} M R^{2} \Rightarrow M R^{2} = 4 I W e h a v e t o f i n d, I' = \frac{3}{2} M R^{2} = \frac{3}{2} (4 I) = 6 I$

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