Open AccessTo the question of the shape of the spatial curve of the fastest descent in the conditions of its rotation
Author(s) -
С. О. Гладков,
С. Б. Богданова
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1902/1/012036
Subject(s) - rotation (mathematics) , ball (mathematics) , descent (aeronautics) , mathematics , mathematical analysis , dynamic equation , mechanics , classical mechanics , geometry , physics , nonlinear system , meteorology , quantum mechanics
The non-linear system of dynamic equations of the movement of the ball, sliding down on rotating with frequency ω on one-dimensional gutter of arbitrary form, is obtained. From the minimum sliding time. defined by the form of this curve. Taking into account the forces of dry and viscous friction, the results of the analytical and numerical solution of the received system of equations are presented.