Mechanical Equilibrium: Rotating w/No Net Torque

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An object rotating with no net torque, such as a sphere spinning about its axis of symmetry, is not considered to be in mechanical equilibrium. This is because mechanical equilibrium requires both net torque and net force to be zero. While an object can be moving through space with constant velocity and no net force, it does not equate to being in equilibrium if it is rotating. The discussion highlights the confusion between rotational motion and translational motion in the context of equilibrium. Therefore, according to the textbook, a spinning sphere is not in mechanical equilibrium.
broegger
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is an object rotating with no net torque present (such as a sphere spinning about an axis of symmetry) said to be in mechanical equilibrium??
 
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Originally posted by broegger
is an object rotating with no net torque present (such as a sphere spinning about an axis of symmetry) said to be in mechanical equilibrium??
No, since there could still be a net force acting on the object.
 
my physics book implicitly states that if an object is rotating it is not in mechanical equlibrium - even though there is no net torque and it isn't moving through space (no net force)... but if the same object is moving through space with constant velocity (no net force) without rotating (no net torque) it IS in equilibrium - this is confusing, because to me these two situations are equivalent
 
For a system to be in mechanical equilibrium, the net torque and the net force must be zero.

So assuming these are true, would a sphere spinning about an axis of symmetry be in equilibrium? According to the textbook, no?
 

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