A problem by crazy singh

Level pending

two circular loops A A and B B of radii R R and 2 R 2R respectively are made of the same wire. The ratio of their moment of inertia about the axis passing through the center and perpendicular to their planes is given by a b \frac{a}{b} . where a a and b b are co-prime integers. then a + b a + b is equal to?


The answer is 9.

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