Rotational Motion

JEE Main level, single correct, medium

95 of 280

Question 95 of 280

Four point masses, each of value m\mathrm{m}, are placed at the corners of a square ABCDA B C D of side ℓ\ell. The moment of inertia through AA and parallel to BDB D is

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Answer: (D) 3 mℓ23 \mathrm{~m} \ell^2

I=2 m(ℓ/2)2=3 mℓ2\mathrm{I}=2 \mathrm{~m}(\ell / \sqrt{2})^2=3 \mathrm{~m} \ell^2

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