Exploring a rheonomic system

Details Exploring a rheonomic system Exploring a rheonomic system

1999-12-23

arxiv.org/abs/physics/9912049v1

European Journal of Physics, Vol.21, p.23 (2000)

Physics

Classical Physics

Scientific paper

10.1088/0143-0807/21/1/304

A simple and illustrative rheonomic system is explored in the Lagrangian formalism. The difference between Jacobi's integral and energy is highlighted. A sharp contrast with remarks found in the literature is pointed out. The non-conservative system possess a Lagrangian not explicitly dependent on time and consequently there is a Jacobi's integral. The Lagrange undetermined multiplier method is used as a complement to obtain a few interesting conclusions

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