Tension in string when force is applied to both ends

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Discussion Overview

The discussion revolves around the concept of tension in a string when forces are applied to both ends. It explores the relationship between the applied forces and the resulting tension, particularly in the context of a mass hanging from a vertical string.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether the total tension in a string with forces applied to both ends is the sum of those forces.
  • Another participant argues that in the case of a massless string, the forces applied to both ends do not add up to create tension, suggesting that equal forces must be applied to maintain tension.
  • A further participant clarifies that when a mass is hanging from a vertical string, the force exerted downwards by the mass is equal to the force exerted upwards by the attachment point of the string.
  • One participant confirms the previous statement about the forces in equilibrium.

Areas of Agreement / Disagreement

There is disagreement regarding the nature of tension in the string when forces are applied to both ends, with differing views on whether the forces add up or not. The discussion remains unresolved on this point.

Contextual Notes

The discussion does not clarify the assumptions regarding the properties of the string (e.g., massless vs. massive) or the specific conditions under which the forces are applied.

vaizard
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Hi,

I've got a quick question about tension. If there is a force applied to both ends, the total tension is the sum of those forces, right (i.e., they don't cancel each other out)?

TIA!
 
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Wrong. Take a massless string for example. To create a tension of 100 N within the string, you must apply a force of 100 N to both ends. (Those forces don't add up.)
 
So when the string is vertical and in equilibrium with a mass hanging from it, there is a certain force exerted downwards by the mass and that same force exerted upwards by whatever the top end of the string is attached to?
 
That's right.
 

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