Find the Optimal Cut Point on a Hanging Thread

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SUMMARY

The optimal cut point on a hanging thread with weights attached is at the top, near the ceiling. This conclusion is based on the principle that the highest tension occurs at this point, making it easier to cut. Weights attached below the first weight do not contribute to the tension experienced by the thread, thus reducing the difficulty of cutting. The assumption that higher tension correlates with ease of cutting is validated by the thread's behavior under strain, which leads to elongation and thinning, facilitating the cutting process.

PREREQUISITES
  • Understanding of basic physics principles, particularly tension and strain.
  • Familiarity with concepts of force distribution in static systems.
  • Knowledge of material properties related to cutting and deformation.
  • Basic grasp of mechanics related to hanging objects and equilibrium.
NEXT STEPS
  • Research the physics of tension in strings and cables.
  • Explore the mechanics of cutting materials under different tension levels.
  • Study the effects of weight distribution on static equilibrium.
  • Investigate material properties that influence cutting efficiency.
USEFUL FOR

Physics students, engineers, and anyone interested in mechanics and material science will benefit from this discussion, particularly those focusing on tension and cutting dynamics in static systems.

deepansu sharma
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a weight is attatched midway to a thread which hangs vertically from a ceiling.another weight is attatched to the bottom end of the thread.where along the thread will it be most easy to cut and why?
 
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What's your initial guess (and why)?
 
I would say at the top, near the point the thread is attached to the ceiling. Why?, because at that point there is the greatest amount of tension on the thread, which makes it easier to cut.
My thoughts anyway.
 
I would say that your initial guess is correct, because any part of the thread below the first weight does not experience tension from that weight.

This is assuming it is easier to cut if it is more tense, which I think is a fair assumption.
 
I would say anywhere between the ceiling and the first weight.
regarding the assumption of higher tension = easier to cut, I would agree; it would flex less as the cutting object pressed against it
 
The top of the thread due to it having the highest normal strain (change in shape and volume), the thread would elongate and become thinner allowing less work to be done to cut the thread.
 
Last edited:

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