Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Bogdanova, Sophie B.; Gladkov, Sergey O.
- Contact information
- Bogdanova, Sophie B. : Moscow Aviation Institute (National Research University) Moscow, Russian Federation; OCRID: 0000-0001-8503-1794; Gladkov, Sergey O. : Moscow Aviation Institute (National Research University) Moscow, Russian Federation; OCRID: 0000-0002-2755-9133
- Keywords
- natural basis of a curve; curvature of a curve; equation of motion; ellipse; Archimedes’ spiral
- Abstract
Movement of a freely rolling body along a chute with a given curve configuration is considered in the paper. The detachment condition is obtained with the use of the method of moving basis. The separation point is found from obtained equations in cases where the curve is given parametrically and in Cartesian and polar coordinates. The implementation of the proposed method is illustrated for some particular curves
- Pages
- 214–222
- EDN
- NZDRNR
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/158122
Journal of Siberian Federal University. Mathematics & Physics / On the Analityc Definition of the Separation Point of a Freely Rolling Down Body
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