Question

If an object in translational equilibrium is also in rotational equilibrium about a given rotational axis. True or False

Answer 1

Complete Question:

If an object in translational equilibrium is also in rotational equilibrium about a given rotational axis the object will be in rotational equilibrium about any other axis. True or false

Answer:

True

Explanation:

An object is in translational equilibrium when the sum of all the external forces acting on it equals zero. $\sum F = 0$

Such an object is also experiencing zero overall acceleration. Therefore, it is either not moving or moving at a constant velocity

An object is in rotational equilibrium when the sum of all the external torques acting on it equals zero. $\sum T = 0$

Such an object either will not be moving or moving at a constant angular velocity. This means the object is experiencing zero angular acceleration

If an object in translational equilibrium is also in rotational equilibrium about a given rotational axis the object will be in rotational equilibrium about any other axis

Answer 2

Answer: True

Explanation:

The object will be in rotational equilibrium about any other axis

Therefore, it is either not moving or moving at a constant velocity. Similarly to translational equilibrium, an object is in rotational equilibrium when the sum of all the external torques acting on it equals zero. In rotational equilibrium, an object either will not be moving or moving at a constant angular velocity.