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

In summary, the tension at the free end of a rope that is rotated in a vertical circle is taken as 0 because there is no contact present between the rope and any other object at that end, resulting in no tension. This is known as a boundary condition.
  • #1
andyrk
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5
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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  • #2
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?
 
  • #3
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?
 

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

What is a boundary condition for tension?

A boundary condition for tension is a set of constraints that are applied at the boundaries or edges of a system or object experiencing tension. These constraints dictate how the tension is distributed and how the object will behave under different loads and forces.

Why is a boundary condition for tension important?

A boundary condition for tension is important because it helps to accurately model and predict the behavior of objects or systems experiencing tension. Without considering the boundary conditions, the results of experiments or simulations may be inaccurate and unreliable.

What are some common types of boundary conditions for tension?

Some common types of boundary conditions for tension include fixed or clamped edges, free or open edges, and roller or sliding edges. These boundary conditions can also be combined to create more complex scenarios, depending on the specific needs of the experiment or simulation.

How do you determine the appropriate boundary conditions for a tension problem?

The appropriate boundary conditions for a tension problem can be determined by considering the specific characteristics and behavior of the object or system under tension. Factors such as material properties, loading conditions, and desired outcomes can all influence the selection of boundary conditions.

Can boundary conditions for tension change over time?

Yes, boundary conditions for tension can change over time as the conditions or environment of the object or system change. For example, if the temperature or loading conditions change, the boundary conditions may need to be adjusted to accurately represent the new scenario.

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