Calculate Rope Tension with Unequal Forces

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    Rope Tension
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Homework Help Overview

The discussion revolves around calculating the tension in a rope when subjected to unequal forces at both ends. The original poster seeks clarification on how to determine the tension when one force is not equal to the other, contrasting this with the case where forces are equal.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of Newton's Third Law regarding forces acting on the rope, questioning how mass and acceleration affect tension. The original poster's inquiry about the tension in the presence of unequal forces prompts further examination of these concepts.

Discussion Status

Some participants have provided insights into the relationship between force, mass, and tension, suggesting that the tension may vary within the rope depending on its mass and the forces applied. The conversation appears to be ongoing, with different interpretations being explored.

Contextual Notes

The original poster's question does not include specific numerical values or equations, indicating a focus on conceptual understanding rather than computational solutions.

iampaul
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Homework Statement


How do i find the tension in a cord. If two equal forces,say F1 and F2, act on both ends of the cord the tension is F1=F2. What if the forces are not equal?
If a force A pulls one end of a rope, and a force B, pulls the other end and A is not equal to B, what is the tension in the rope.

Homework Equations



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The Attempt at a Solution


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If the rope has no mass, the forces at both ends are the same according to Newton's Third Law.
The forces can be different at the ends if the rope has mass and accelerates, or is subjected to gravity. In this case, the tension is different at different cross-sections inside the rope.

ehild
 
thanks!
 
Technically, saying "the forces are equal" means they have equal magnitude and direction. Yes, the vast majority of readers will know what you mean but I've found its important to be somewhat pedantic in quiz questions. Otherwise a student can, for example, make the point I make here about the force, and its a valid point.
 
Last edited:

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