Torque and Rotational Motion

What happens to the angular velocity of an object if the net torque acting on it is zero?

A uniform beam of length L and weight W is supported by a pivot at one end and a cable at the other end. The cable makes an angle of $\theta$ with the beam. Determine the tension in the cable in terms of W and $\theta$.

A rotating wheel has a kinetic energy of 100 J. If a torque of 10 Nm is applied to stop the wheel, through what angle does the wheel rotate before coming to rest?

A motor applies a torque of 20 Nm to a wheel with a moment of inertia of 5 kg m^2. What is the angular acceleration of the wheel?

A rod of length L has two forces applied to it: F1 at L/4 and F2 at L. Given the moment of inertia I, find the angular acceleration of the rod.

A wheel with a moment of inertia of 2 $kg*m^2$ experiences a net torque of 5 Nm. What is its angular acceleration?

Which of the following scenarios represents rotational equilibrium?

A system has a net force of zero but a non-zero net torque. Which of the following is true?

A seesaw has two people of different weights sitting at different distances from the pivot. The seesaw is supported such that it is level (translational equilibrium). If the support is suddenly removed, what will happen?

Three forces act on a beam. Force 1 is 10N at 2m from the pivot, force 2 is 5N at 4m from the pivot in the opposite direction, and force 3 is 2N at the pivot. Is the beam in rotational equilibrium?