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What is the Parallel Axis Theorem for moment of inertia $I$ of a rigid body of mass $M$?

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

Answer

$I = I_{\text{cm}} + M d^2$, where $I_{\text{cm}}$ is the moment of inertia about the parallel center-of-mass axis and $d$ is the distance between axes.

Explanation

Used to shift rotational axes from the center of mass to hinges or rolling contact points.

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