Why Is Tension Zero at the Free End of a Rotating Rope?

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SUMMARY

The tension at the free end of a rotating rope is considered to be zero due to the absence of any external forces acting on that end. When a rope is tied at one end and rotated in a vertical circle, the free end does not exert force on any object, leading to the conclusion that no tension exists there. This boundary condition is essential in understanding the dynamics of rotating systems and the behavior of tension in ropes.

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  • Understanding of basic physics concepts, particularly forces and tension.
  • Familiarity with rotational motion and circular dynamics.
  • Knowledge of boundary conditions in physics.
  • Basic mathematical skills for analyzing forces in a rotating system.
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  • Research the principles of tension in strings and ropes in physics.
  • Study the dynamics of rotating systems, focusing on forces acting on objects in circular motion.
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Students of physics, educators teaching mechanics, and engineers involved in designing systems that utilize ropes or cables in motion.

andyrk
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A rope is tied at one end then rotated in a vertical circle. Why do we take the tension at the free end of the rope as 0(Boundary Condition)?
 
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andyrk said:
A rope is tied at one end then rotated in a vertical circle. Why do we take the tension at the free end of the rope as 0(Boundary Condition)?

What is the end of the rope pulling on?
 
Nothing, so this is a silly doubt then I guess but for tension to occur there should be actual contact present between the string and some other object, right? Which in this case is missing from the free end of the rope?
 

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