Solving the brachistochrone and other variational problems with soap films

Details Solving the brachistochrone and other variational problems with soap films Solving the brachistochrone and other variational problems with soap films

2010-03-20

arxiv.org/abs/1003.3924v3

Physics

Popular Physics

16 pages, 11 figures. This article, except for a small correction, has been submitted to the American Journal of Physics

Scientific paper

We show a method to solve the problem of the brachistochrone as well as other
variational problems with the help of the soap films that are formed between
two suitable surfaces. We also show the interesting connection between some
variational problems of dynamics, statics, optics, and elasticity.

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