MHT CET 2023 Physics question
The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the center is , where 'M' is the mass and 'a' is the side of square plate. Moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is
Answer: (B)
Solution
Use the parallel-axis theorem: . The distance from the centre to a corner is half the diagonal: , so . Therefore \dfrac{Ma^2}{6}\dfrac{a^2}{2}\dfrac{Ma^2}{6}\dfrac{3Ma^2}{6}$
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