Abstract
A model describing the shape 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 is considered. The parametric equations of the stationary curve are derived. The shape of the stationary segment and its properties are in a qualitative agreement with those observed in experiments.
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J. S. Biggins and M. Warner, “Understanding the Chain Fountain,” Proc. Roy. Soc. A 470 (2014). doi 10.1098/rspa. 2013.0689
F. Herrmann, “The Chain Fountain with Momentum Currents,” http://www.physikdidaktik.uni-karlsruhe.de/publication/Chain_fountain.pdf. Cited October 15, 2017.
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Original Russian Text © N.S. Gyul’amirova, E.I. Kugushev, 2018, published in Vestnik Moskouskogo Universiteta, Matematika, Mekhanika, 2018, Vol. 73, No. 1, pp. 39-43.
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Gyul’amirova, N.S., Kugushev, E.I. Stationary Shape of a Moving Heavy Flexible Thread. Moscow Univ. Mech. Bull. 73, 7–10 (2018). https://doi.org/10.3103/S0027133018010028
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DOI: https://doi.org/10.3103/S0027133018010028