Question

moment of inertia vs polar moment of inertia vs mass moment of inertia

Answer 1

Moment of Inertia is often refereed as mass moment of inertia or the angular mass. It is the measure of an object's resistance against the angular acceleration. On the other hand, Polar Moment of Inertia is a measure of a body's ability to resistance against the torsion when torque is being applied.

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Answer 2

Mass is nothing but a resistance to motion similarly mass moment of Inertia is resistance to rotational motion. Area is a resistance to stress developed similarly polar moment of inertia is resistance to torsional stresses developed.