COMEDK2021PhysicsCenter of Mass, Momentum and Collision
Newton's second law of rotational motion of a system particles having angular momentum L is given by
Options
- Ad p d t = _ ext
- Bd L d t = _ int
- Cd L d t = _ ext
- Dd L d t = _ int + _ ext
Correct answer
C. d L d t = _ ext
Step-by-step solution
For a system of particles, the total angular momentum L is the sum of the angular momenta of individual particles. The rate of change of the total angular momentum is given by the sum of the torques acting on the system. The total torque acting on the system is the sum of external torques _ ext and internal torques _ int . According to Newton's third law in rotational form, the internal torques between particles in a system occur in equal and opposite pairs, such that their vector sum is zero, i.e., _ int = 0 . The