On the Motion of a Mechanical System Inside a Rolling Ball

2013, Volume 18, Numbers 1-2, pp. 159-165

Author(s): Bolotin S. V., Popova T. V.

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, Volume 18, Numbers 1-2, pp. 159-165

DOI: 10.1134/S1560354713010115

Access to the full text on the Springer website