T. Popova

Address: Leninskie Gory 1, Moscow, 119991 Russia

University: M.V. Lomonosov Moscow State University

Publications:

Bolotin S. V., Popova T. V.

On the Motion of a Mechanical System Inside a Rolling Ball
2013, vol. 18, nos. 1-2, pp. 159-165

Abstract

We consider a mechanical system inside a rolling ball and show that if the constraints have spherical symmetry, the equations of motion have Lagrangian form. Without symmetry, this is not true.

Keywords: nonholonomic constraint, rolling ball, Lagrange equations, Hamilton principle

Citation: Bolotin S. V., Popova T. V., On the Motion of a Mechanical System Inside a Rolling Ball, Regular and Chaotic Dynamics, 2013, vol. 18, nos. 1-2, pp. 159-165

DOI:10.1134/S1560354713010115

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