When a torque acting upon a system is zero. Which of the following will be constant? (a) Force (

step 1 In this question it is given that when a torque is acting upon a system is zero, then we have to

When a torque acting upon a system is zero. Which of the...

Key Concepts

Torque

Torque is a measure of the effectiveness of a force in causing rotational motion around an axis. It is defined as the product of the force and the perpendicular distance from the axis at which the force is applied. Torque plays a central role in rotational dynamics, analogous to force in linear dynamics.

Angular Momentum

Angular momentum is the rotational equivalent of linear momentum and quantifies the amount of rotation an object possesses, taking into account both its mass distribution and angular velocity. It serves as a key variable in analyzing the behavior of rotating systems.

Conservation of Angular Momentum

The principle of conservation of angular momentum states that if the net external torque acting on a system is zero, then the total angular momentum of the system remains constant in time. This conservation law is fundamental in understanding the dynamics of rotating bodies, where changes in the mass distribution result in adjustments in angular velocity to maintain constant angular momentum.

Newton's Second Law for Rotation

Newton's second law for rotation establishes a relationship between torque and the time rate of change of angular momentum. It shows that the net external torque on an object determines how its angular momentum changes over time, drawing a clear parallel to the relationship between force and linear momentum in translational motion.

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