Tension in rope wrapped around pole

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    Pole Rope Tension
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Discussion Overview

The discussion revolves around the concept of tension in a rope wrapped around a pole, particularly focusing on the variation of tension within the rope and the role of static friction in this scenario. Participants explore the implications of friction on the behavior of the rope and its equilibrium state.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion regarding why tension varies within the rope and questions how to determine if the static friction force is non-zero.
  • Another participant suggests that if the rope is not behaving as it would without friction, then static friction must be present, implying a relationship between friction and the rope's behavior.
  • A third participant inquires whether the original poster has been taught about Eytelwein's formula, hinting at its relevance to the discussion.
  • A later reply provides a link to Eytelwein's formula, suggesting it may offer further insights into the topic.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the role of static friction or the implications of Eytelwein's formula, indicating that multiple views and uncertainties remain in the discussion.

Contextual Notes

The discussion lacks clarity on the specific conditions under which the rope is analyzed, such as whether it is in static or dynamic equilibrium, and the assumptions regarding the frictional forces involved are not fully articulated.

Who May Find This Useful

Individuals interested in mechanics, particularly those studying tension, friction, and equilibrium in physical systems, may find this discussion relevant.

Jzhang27143
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A rope is wrapped around a pole with one end attached to a large object and the other end pulled with a tension T. The rope does not slip. I am confused why the tension varies within the rope. How would I know that the static friction force is non-zero?
 
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What would the rope do without that static friction force? Is your situation is equilibrium? Is the rope doing what it would do without friction? If not, then there must be friction. :-p
 
Have you been taught about Eytelwein's formula?
 

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