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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018 Number 1, Pages 39–43 (Mi vmumm8)

This article is cited in 1 paper

Mechanics

Stationary form of a moving heavy flexible thread

N. S. Gyulamirova, E. I. Kugushev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We study a model describing the form of the stationary segment of a heavy flexible inextensible thread moving in a fixed vertical plane down to a given depth from a fixed position to a fixed position. The parametric equations of the stationary curve are derived. The form of the stationary segment and its properties are in qualitative agreement with those observed in experiments.

Key words: chain fountain, steady motion, heavy flexible inextensible thread.

UDC: 531.5

Received: 27.03.2017


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2018, 73:1, 7–10

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