Abstract
In this paper, we consider the motion of a body suspended on a thread of variable length. We obtain expressions for the speed of the flexible thread when it is wound on a drum, the angular velocity of the drum, and the total duration of the process.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 168, Proceedings of the International Conference “Geometric Methods in the Control Theory and Mathematical Physics” Dedicated to the 70th Anniversary of Prof. S. L. Atanasyan, 70th Anniversary of Prof. I. S. Krasil’shchik, 70th Anniversary of Prof. A. V. Samokhin, and 80th Anniversary of Prof. V. T. Fomenko. Ryazan State University named for S. Yesenin, Ryazan, September 25–28, 2018. Part I, 2019.
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Ulyanov, V.M., Kiryanov, A.Y. & Khripin, V.A. On the Motion of a Body Suspended on a Thread with Variable Length. J Math Sci 262, 863–868 (2022). https://doi.org/10.1007/s10958-022-05865-1
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DOI: https://doi.org/10.1007/s10958-022-05865-1