Consider the following statements regarding the Moment of Inertia and the laws of rotational motion under Mechanics: 1. The moment of inertia of a body is the sum of the products of its mass and the squares of the distances of the mass particles from the axis of rotation, and it is not a scalar quantity but a tensor quantity. 2. 'Torque' plays the same role in rotational motion that 'force' plays in linear motion, and its SI unit is Newton-meter (N-m). 3. The 'Law of Conservation of Angular Momentum' is based on the principle that if the total external torque acting on a system is zero, the total angular momentum of that system remains constant (such as a dancer sitting on a rotating stool increasing their rotational speed by pulling in their arms). 4. According to the Parallel Axes Theorem, the moment of inertia about an axis is equal to the sum of the moment of inertia about a parallel axis passing through the center and the product of the total mass of the body and the square of the perpendicular distance between the two axes. Which of the above statement(s) is/are completely true?

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Gaurav Shrivastava · Accepted Answer

All four statements related to rotational motion and moment of inertia under mechanics are completely true. Moment of inertia is a tensor quantity, torque is equivalent to force in rotational motion, the law of conservation of angular momentum applies in the absence of external torque, and the Parallel Axes Theorem follows the relation $I = I_{cm} + Md^2$.

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Consider the following statements regarding the Moment of Inertia and the laws of rotational motion under Mechanics:

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