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. [tex]\sum F = 0[/tex]
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. [tex]\sum T = 0[/tex]
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