This is the doubt that troubled me when the chapter of rotational motion started. If torque is applied on a body for sometime and then the torque is stopped, then will the body continue to rotate for ever? Yes - coz the rotational Kinetic energy Iw^2 must be conserved since no mommentum is transferred to the system. No - coz there is no force for the centre of mass of the body to accelerate. I mean in the given condition it could be that rotational axis is not a centroidal one.