$\tau=I \alpha$ (where$ \tau=$ torque )
$I=$ moment of inertia
$\alpha=$ angular acceleration
if $ \tau=0 $
$ I \alpha=0 $
But $ I \neq 0 $
$\therefore \alpha=0$
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Top Questions on System of Particles & Rotational Motion
The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.