Author(s)

F. Talamucci^*

DIMAI, Dipartimento di Matematica e Informatica “Ulisse Dini”, Università Degli Studi di Firenze, Florence, Italy.

The main purpose of the paper consists in illustrating a procedure for expressing the equations of motion for a general time-dependent constrained system. Constraints are both of geometrical and differential type. The use of quasi-velocities as variables of the mathematical problem opens the possibility of incorporating some remarkable and classic cases of equations of motion. Afterwards, the scheme of equations is implemented for a pair of substantial examples, which are presented in a double version, acting either as a scleronomic system and as a rheonomic system.

Nonholonomous Systems, Rheonomic Constraints, Quasi-Velocites, Appell and Boltzmann-Hamel Equations

Talamucci, F. (2015) Motion of Nonholonomous Rheonomous Systems in the Lagrangian Formalism. Journal of Applied Mathematics and Physics, 3, 295-309. doi: 10.4236/jamp.2015.33043.