Calculus II/Moments

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The moment of inertia is sometimes called and referred to as "angular mass." It is the "amount of resistance" to changes in rotational motion.

The moment of inertia of a point mass m at a distance r from the axis of rotation is

The moment of inertia is additive, therefore, for a collection of point masses with distances to the rotation axis, the total moment of inertia is the sum of the point-mass moments of inertia

The moment of inertia is commonly used to calculate torque when multiplied by the angular acceleration. This is analogous to F = ma.