Tension in rope wrapped around pole

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    Pole Rope Tension
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SUMMARY

The discussion centers on the mechanics of a rope wrapped around a pole, specifically addressing the variation of tension within the rope due to static friction. It establishes that without static friction, the rope would slip, indicating that static friction is indeed present in the scenario. The conversation references Eytelwein's formula, which is crucial for understanding the relationship between tension and friction in this context. The equilibrium of the system is questioned, emphasizing the importance of friction in maintaining stability.

PREREQUISITES
  • Understanding of static friction and its role in tension dynamics
  • Familiarity with Eytelwein's formula and its applications
  • Basic knowledge of equilibrium conditions in physics
  • Concept of tension variation in ropes and cables
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  • Study Eytelwein's formula in detail to understand its implications on tension and friction
  • Explore the principles of static friction and its effects on rope mechanics
  • Research equilibrium conditions in systems involving pulleys and ropes
  • Examine case studies of tension variation in real-world applications
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Physics students, mechanical engineers, and anyone interested in the principles of tension and friction in mechanical systems.

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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