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On a chain on cone problem
O. E. Zubelevich Lomonosov Moscow State University
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.
Received: 27.02.2017
Citation:
O. E. Zubelevich, “On a chain on cone problem”, Sib. J. Pure and Appl. Math., 17:4 (2017), 57–63
Linking options:
https://www.mathnet.ru/eng/vngu455 https://www.mathnet.ru/eng/vngu/v17/i4/p57
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Statistics & downloads: |
Abstract page: | 176 | Full-text PDF : | 85 | References: | 31 | First page: | 12 |
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