On the motion of a mechanical system inside a rolling ball

Bolotin S. V.; Popova T. V.

On the motion of a mechanical system inside a rolling ball

2013, Vol. 9, No. 1, pp. 51-58

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

We consider a mechanical system inside a rolling ball and show that if the ideal constraints have spherical symmetry, the equations of motion have a 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, Rus. J. Nonlin. Dyn., 2013, Vol. 9, No. 1, pp. 51-58

DOI:10.20537/nd1301005

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