Stationary Shape of a Moving Heavy Flexible Thread


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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.

About the authors

N. S. Gyul’amirova

Faculty of Mechanics and Mathematics, Leninskie Gory

Author for correspondence.
Email: 388771@mail.ru
Russian Federation, Moscow, 119899

E. I. Kugushev

Faculty of Mechanics and Mathematics, Leninskie Gory

Email: 388771@mail.ru
Russian Federation, Moscow, 119899

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