If the torque on an object adds up to zero

A) the forces on it also add up to zero.

B) the object is at rest.

C) the object could be rotating and its center of mass could be accelerating linearly

D) the object could not be rotating and its center of mass could be accelerating linearly

E) None of the above.

If the net torque acting on the system is zero, the net force may or may not be zero.

The net torque on the Object is zero implies that the Object cannot have an angular acceleration

but it will have an angular velocity.

Thus, the object will rotate.

The center of mass of the object

will have the linear acceleration since because there will be a net force.

Thus, the correct option

is the object could be both turning and accelerating linearly.

the object could be rotating and its center of mass could be accelerating linearly.

Answer : C