Tension in Rope A vs. Rope B: Which is More?

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The discussion centers on the tension in two ropes, A and B, when pulled by professional strongmen. Rope A, tied to a building, experiences a tension of 10N, while rope B, pulled by two strongmen in opposite directions, theoretically should have a tension of 20N. However, due to the principles of equilibrium and Newton's laws, both ropes ultimately exhibit the same tension of 10N. This conclusion is supported by analyzing the forces acting on the ropes and applying Free Body diagrams.

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Sorry I deleted the template, it doesn't seem to apply much to this particular problem:

A professional strongman ties rope A to a building and pulls as hard as he can on the rope. Two other professional strongmen take either end of rope B and pull in opposite directions as hard as they can. If all strongmen possesses equal strength, how do the tensions in the rope compare?

It's a multiple choice question and the answer listed is: The ropes have the same tension.

This just doesn't seem correct to me, could anyone enlighten me or confirm my doubts? As I see it, if all the strongmen pull with a force of 10N (perhaps we should call these strongmice instead), then clearly rope A would have a tension of 10N, while rope B would have a tension of 20N.
 
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Not as clearly as you think. Just imagine that the wall is a strongman. Whether a strongman or a wall, either would exert the same force on the rope...10N. That's Newton 3. You might want to cut a section thru the rope and draw a Free Body diagram around one of the strongmen, and use Newton 1 for equilibrium.
 
PhanthomJay said:
Not as clearly as you think. Just imagine that the wall is a strongman. Whether a strongman or a wall, either would exert the same force on the rope...10N. That's Newton 3. You might want to cut a section thru the rope and draw a Free Body diagram around one of the strongmen, and use Newton 1 for equilibrium.

Thanks for the help, that's just a weird thing to conceptualize.
 

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