What is required for the angular momentum of a system to be constant? (a) zero net torque, (b) zero impulse, (c) no energy transfers, (d) zero net force

The rotating inertia of an object or system of objects in motion about an axis that may or may not pass through the object or system is described by angular momentum.

The force that can cause an object to twist along an axis is measured as torque. In linear kinematics, force is what causes an object to accelerate.

The rate of change in angular momentum of the system is numerically equal to the torque exerted on it. a mathematical expression, a mathematical expression, a

mathematical expression, a mathematical expression

${\overrightarrow{\tau }}_{Net}=\frac{d\overrightarrow{L}}{dt}.......\left(1\right)$

Using equation (1), for angular momentum of the system to be a constant, $L=cons\tan t$

$\begin{array}{rcl}{\overrightarrow{\tau }}_{Net}& =& \frac{d\overrightarrow{L}}{dt}\\ & =& \frac{d\left(cons\tan t\right)}{dt}\\ & =& 0\\ & & \end{array}$

As a result, if the net torque operating on the system is zero, the angular momentum of the system remains constant.

Correct option: A