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Motion of Nonholonomous Rheonomous Systems in the Lagrangian Formalism

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DOI: 10.4236/jamp.2015.33043    4,982 Downloads   5,381 Views   Citations
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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.

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The authors declare no conflicts of interest.

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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.


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