Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): If the vector sum of all external forces acting on a rigid body is zero, the body must necessarily be in rotational equilibrium. Reason (R): Rotational equilibrium requires that the vector sum of external torques acting on the rigid body about any point must be equal to zero. In the light of the above statements, choose the correct answer from the options given below:

1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.