%0 Journal Article %T Motion of Nonholonomous Rheonomous Systems in the Lagrangian Formalism %A F. Talamucci %J Journal of Applied Mathematics and Physics %P 295-309 %@ 2327-4379 %D 2015 %I Scientific Research Publishing %R 10.4236/jamp.2015.33043 %X 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. %K Nonholonomous Systems %K Rheonomic Constraints %K Quasi-Velocites %K Appell and Boltzmann-Hamel Equations %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54906