Can a system of blanaced forces acting on a body produce an acceleration in it.

A torque of magnitude 2000 Nm acting on a body produces an angular acceleration of 20" rad/s"^(2) , The moment of inertia of the body is

Can the couple acting on a rigid body produce translatory motion ?

Statement-1: If the resultant of all the forces acting on a system is zero then the torque on the system about any point is same. Statement-2: If the resultant of the forces acting on a system is zero then acceleration of its centre of mass is zero.

Can the couple acting on a rigid body produce translatory motion?