U-shaped length of chain falling when one end is released

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Homework Help Overview

The discussion revolves around a U-shaped chain that is falling when one end is released. Participants are exploring the dynamics of the chain's motion, particularly focusing on the velocities of different segments of the chain as they fall and come to rest. The problem involves concepts from mechanics, specifically relating to forces, velocities, and the behavior of flexible bodies under gravity.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the velocities of different segments of the chain, questioning whether the velocity of the element just before it stops at point B is ##\frac{v}{2}## or ##v##. There is also a consideration of how the shape of the chain affects its motion and the forces involved.

Discussion Status

There are multiple interpretations being explored regarding the behavior of the chain and the assumptions about its shape. Some participants suggest that the problem relates to the chain fountain effect and conservation of energy, while others question the accuracy of the diagram and the assumptions made about the chain's flexibility and curvature.

Contextual Notes

Participants note that the chain is assumed to be infinitely flexible and that the radius of curvature at the U bend can be considered to be zero. There is also a discussion about the initial conditions of the chain and how they affect the analysis of the problem.

  • #31
Due to repeated insult issues, the OP is on a 10-day vacation from PF. There does not seem to be any reason to reopen this thread, so it will remain closed. Thanks to all who tried to help the OP with this difficult problem.
 

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