How Do You Calculate Tension in a Spinning String Loop?

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Homework Help Overview

The problem involves calculating the tension in a spinning string loop, specifically focusing on a string of length l and mass M that is rotating with a uniform angular velocity omega. The original poster mentions the use of differentials and integration in their approach.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster questions whether the tension in the rope is uniform throughout the loop and expresses uncertainty about how to determine that tension. Other participants suggest drawing a force diagram and identifying the forces acting on a small segment of the loop.

Discussion Status

The discussion is ongoing, with participants exploring the concept of tension in the context of the problem. Some guidance has been offered regarding the importance of a force diagram, but no consensus has been reached on the method to find the tension.

Contextual Notes

The original poster has indicated a suggestion to draw a force diagram, which may imply a focus on visualizing the forces involved. There is an underlying assumption about the uniformity of tension that is being questioned.

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Homework Statement


A piece of string of length l and mass M is fastened into a circular loop and set spinning about the center of a circle with uniform angular velocity omega. Find the tension in the string. Suggestion: Draw a force diagram for a small piece of the loop subtending a small angle delta theta.

Homework Equations





The Attempt at a Solution


I know I'm supposed to use differentials and then integrate, but isn't the tension in the rope the same everywhere?
 
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If you mean the string, then, yes, it is.
 
but how do you find that tension?
 
Did you try drawing the force diagram, as suggested? What are the forces acting on the small piece of loop?
 

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