Do couples always produce rotation?

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Couples always produce rotation if no frictional forces are present. The torque generated by a couple is consistent in creating rotational motion. However, in systems with multiple forces, the resultant torque includes contributions from all forces, not just the couple. Therefore, the torque of a couple does not always equal the resultant torque when other forces are involved. In isolated scenarios with only a couple, the torque of the couple will equal the resultant torque.
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Homework Statement


Do couples always produce rotation and does the torque of a couple always equal of resultant torque?

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The Attempt at a Solution


I think the answer for both of them is yes.
 
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Provided there are no frictional forces, then a couple will always result in rotational motion.

Resultant torque sounds like it would be the sum torque of the system you're looking at. If you have a system with more forces acting on it than just one couple, then the resultant torque will have components other than that due to the couple, so the couple moment (torque) will not be equal to the resultant torque.
 
So if there are no other forces acting, only the couple, will the torque of the couple equal the resultant torque?
 
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