TITLE:
One Dimensional Conservative System with Quadratic Dissipation and Position Depending Mass
AUTHORS:
Gustavo V. López, Erick S. Madrigal
KEYWORDS:
Dissipation, Position Mass Depending, Constant of Motion, Hamiltonian
JOURNAL NAME:
Journal of Modern Physics,
Vol.13 No.2,
February
14,
2022
ABSTRACT: Forl a 1-D conservative system with a position depending mass within a dissipative medium, its effect on the body is to exert a force depending on the squared of its velocity, a constant of motion, Lagrangian, generalized linear momentum, and Hamiltonian are obtained. We apply these new results to the harmonic oscillator and pendulum under the characteristics mentioned about, obtaining their constant of motion, Lagrangian and Hamiltonian for the case when the body is increasing its mass.