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홈 / 라이브러리 / JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry / AI 플래시카드

What is the moment of inertia of a uniform solid cylinder/disk of mass $M$ and radius $R$ about its central symmetry axis?

덱 'JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry'의 플래시카드.

정답

$I = \frac{1}{2} M R^2$.

해설

For a thin hoop/ring, $I = M R^2$; for a uniform solid sphere, $I = \frac{2}{5} M R^2$; for a thin spherical shell, $I = \frac{2}{3} M R^2$.

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