A Piecewise-Conserved Constant of Motion for a Dissipative System

Details A Piecewise-Conserved Constant of Motion for a Dissipative System A Piecewise-Conserved Constant of Motion for a Dissipative System

1999-05-29

arxiv.org/abs/physics/9905057v1

Eur. J. Phys. 20, 281-288 (1999)

Physics

Physics Education

8 pages, 6 Encapsulated PostScript figures

Scientific paper

10.1088/0143-0807/20/4/306

We discuss a piecewise-conserved constant of motion for a simple dissipative oscillatory mechanical system. The system is a harmonic oscillator with sliding (dry) friction. The piecewise-conserved constant of motion corresponds to the time average of the energy of the system during one half-period of the motion, and changes abruptly at the turning points of the motion. At late times the piecewise-conserved constant of motion degenerates to a constant of motion in the usual sense.

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