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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 4, Pages 57–63
DOI: https://doi.org/10.17377/PAM.2017.17.6 (Mi vngu455) 		 
On a chain on cone problem

O. E. Zubelevich

Lomonosov Moscow State University
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DOI: https://doi.org/10.17377/PAM.2017.17.6
Abstract: We consider a loop of a chain thrown like a lasso on a fixed right circular cone. The system is in the standard homogeneous gravity field. The axis of the cone is vertical. It is shown that under certain vertex angles chain's loop has an oblique equilibrium.
Keywords: variational methods, equilibriums of chains.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03747_а
Received: 27.02.2017
Document Type: Article
UDC: 517.972.2
Language: Russian
Citation: O. E. Zubelevich, “On a chain on cone problem”, Sib. J. Pure and Appl. Math., 17:4 (2017), 57–63
Citation in format AMSBIB
\Bibitem{Zub17}
\by O.~E.~Zubelevich
\paper On a chain on cone problem
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 4
\pages 57--63
\mathnet{http://mi.mathnet.ru/vngu455}
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