Do couples always produce rotation?

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SUMMARY

In the discussion, it is established that a couple always produces rotational motion when no frictional forces are present. The torque generated by a couple is defined as the moment created by two equal and opposite forces acting at a distance. However, when additional forces are involved in a system, the resultant torque may differ from the torque of the couple alone, as it includes contributions from other forces. Therefore, while a couple induces rotation, its torque does not always equal the resultant torque in complex systems.

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  • Understanding of torque and rotational motion concepts
  • Familiarity with Newton's laws of motion
  • Knowledge of frictional forces and their effects on motion
  • Basic grasp of vector addition in physics
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This discussion is beneficial for physics students, mechanical engineers, and anyone interested in understanding the principles of rotational dynamics and torque in various systems.

Andy21
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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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