Stationary Shape of a Moving Heavy Flexible Thread / N. S. Gyulmirova and E. I. Kugushev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 1. P. 39-43 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 7-10].
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.
Key words: chain fountain, steady motion, heavy flexible inextensible thread.