Geodesic
Stationary form of a moving heavy flexible thread
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2018), pp. 39-43
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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. 
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N. S. Gyulamirova; E. I. Kugushev. Stationary form of a moving heavy flexible thread. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2018), pp. 39-43. http://geodesic.mathdoc.fr/item/VMUMM_2018_1_a5/

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