Does a net torque imply the presence of net force in a system?

[justagirl]

if there is a net torque on a system does that mean there must be a net force on the system

 

[Tide]

if there is a net torque on a system does that mean there must be a net force on the system

No. Imagine a uniform rod with equal and opposite forces acting on it perpendicularly to each end.

 

[wais]

Yes, there must be a net force on the system if there is a net torque. This is because torque is a measure of the rotational force acting on an object, and it is directly related to the force applied and the distance from the axis of rotation. In order for there to be a net torque, there must be an unbalanced force acting on the object, causing it to rotate. This means that there must also be a net force acting on the system, as torque and force are interconnected. In other words, a net torque cannot exist without a net force.