Questions: Describe the necessary requirement(s) for an object to be in static/dynamic equilibrium. Multiple Choice The object must be moving with constant acceleration. The object can be moving at any speed as long as its acceleration is zero. Both the net force and the net torque acting on it must equal zero. The object should be subjected to a zero net force but can accelerate in a rotational manner.

Solution Steps

To determine the necessary requirements for an object to be in static or dynamic equilibrium, we need to understand the conditions for both types of equilibrium:

• Static Equilibrium: An object is in static equilibrium if it is at rest and remains at rest. This requires that the net force and the net torque acting on the object are both zero.
• Dynamic Equilibrium: An object is in dynamic equilibrium if it is moving with a constant velocity (which includes the possibility of being at rest). This also requires that the net force and the net torque acting on the object are both zero.

Let's analyze each option to see which one correctly describes the requirements for an object to be in static or dynamic equilibrium:

1. The object must be moving with constant acceleration.

   • This is incorrect because constant acceleration implies a net force acting on the object, which contradicts the requirement for equilibrium.

2. The object can be moving at any speed as long as its acceleration is zero.

   • This is partially correct but incomplete. While zero acceleration is necessary, it does not address the requirement for zero net torque.

3. Both the net force and the net torque acting on it must equal zero.

   • This is correct. For an object to be in either static or dynamic equilibrium, both the net force and the net torque must be zero.

4. The object should be subjected to a zero net force but can accelerate in a rotational manner.

   • This is incorrect because rotational acceleration implies a net torque, which contradicts the requirement for equilibrium.

Final Answer