Classical Physics

   

Modeling the "Falling Slinky"

Authors: James A. Smith

This document attempted to obtain analytical solutions for the "Falling Slinky" in three ways. The first two, which used the wave equation, failed for different reasons. The first attempt used Fourier series, which could not satisfy the initial and boundary conditions. The second attempt used Laplace transforms; this method did give a solution, which correctly predicted the acceleration of the center of mass, but which predicted that the upper part of the Slinky should "fall through" the lower part, which is impossible. This false prediction is not a defect of the use of Laplace transforms, but an artifact of the use of the wave equation to treat the falling Slinky, which is a shock-wave phenomenon. The third attempt at a solution used the impulse-momentum theorem, obtaining a result whose predictions are internally consistent, as well as agreeing with empirical results. However, we must point out that the model used here treats only the Slinky's longitudinal behavior, ignoring its torsional behavior.

Comments: 25 Pages. Document is in Spanish

Download: PDF

Submission history

[v1] 2016-09-23 20:11:08

Unique-IP document downloads: 12 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus