In terms of moments, what must be true for an object to be in rotational equilibrium?

For an object to be in rotational equilibrium, it must have no net torque acting on it. This means that the sum of all the torques (or moments) acting on the object must equal zero. When the net torque is zero, the object will either remain at rest or continue to rotate at a constant angular velocity, as there are no unbalanced forces causing a change in its rotational state.

In this situation, the torques are calculated as the product of force and the distance from the pivot point (the fulcrum) to where the force is applied, taking into account the direction of the force and the angle at which it acts. When the system is in rotational equilibrium, the clockwise moments balance out the counterclockwise moments, leading to this condition of zero net torque.

The other options relate to linear motion or do not fully capture the necessary condition for rotational equilibrium. While having a net force of zero (the first choice) is important for translational equilibrium, it does not directly ensure that the object is in rotational equilibrium. The concepts of speed and velocity being constant (the third and fourth choices) refer to kinematics rather than the specific balance of rotational forces necessary for moments, and do not inherently indicate the state of rotational