Why the total tension is not zero?

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Homework Help Overview

The discussion revolves around the concept of tension in a rope that is being pulled at both ends with equal forces. Participants are exploring why the total tension is not zero despite the net force being zero when the forces are balanced.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to differentiate between net force and tension in the rope. Questions arise regarding the terminology used, such as the mention of a "rod" instead of a "rope." Some participants seek further elaboration on the concept of tension and its implications in the context of forces applied to the rope.

Discussion Status

The discussion is active, with participants providing insights into the nature of tension and its relationship to the forces applied. Some have expressed understanding, while others continue to seek clarification on specific points. There is an exploration of how forces interact within different segments of the rope.

Contextual Notes

There appears to be some confusion regarding the terminology used (e.g., rod vs. rope) and the implications of cutting the rope into segments for analysis. Participants are navigating these assumptions as they discuss the problem.

Aruna Kiran
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If two ends of a rope in equilibrium are pulled with forces equal in magnitude and opposite direction,why the total tension in the rod is not zero?


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The Attempt at a Solution

 
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Don't confuse the net force on a section of rope with the tension in the rope.
 
What rod? I thought you were pulling on a rope.
 
Could you please elaborate your answer? I still can't get it.
 
Aruna Kiran said:
Could you please elaborate your answer? I still can't get it.
If you pull each end of piece of rope with a force of 50 N (for example) you will create 50 N of tension in the rope. Think of the tension as the property of a stretched rope that allows it to exert a force at each end.

While the tension is 50 N, since you're pulling each end with equal and opposite force the net force on the rope is zero.
 
The two forces are acting on different points. Imagine you cut the rope into three bits and knot it back together so that you have one rope again made from three bits A,B,C

If you exert a force on part A (and C) then part A will exert an equal force on part B. Then according to Newton, part B will impart an equal and opposite force on part A. Because of symetry the same is happening at the other end. So part B is under tension. Part B can be any size, upto and including the entire rope.
 
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Oh. I got it now. Thank you all.
 

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