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

Study flashcard from the deck JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry.

Answer

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

Explanation

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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