Rigid Body Rotation Statements – Rankers Physics
Topic: Rotational Motion
Subtopic: Torque

Rigid Body Rotation Statements

Consider the following statements \(A\) and \(B\), and identify the correct answer:
**Statement A:** In a perfectly rigid body, the net positive work done by external torques increases the rotational kinetic energy of the body.
**Statement B:** Angular acceleration of a rotating body having fixed axis of rotation is inversely proportional to the moment of inertia of the body for a given torque.
 
A is correct but B is incorrect
A is incorrect but B is correct
Both A and B are correct
Both A and B are incorrect

Solution:

Statement A is correct because the rotational work-energy theorem states that work done equals change in rotational kinetic energy. Statement B is correct since \(alpha = frac{tau}{I}\), meaning angular acceleration is inversely proportional to the moment of inertia.

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