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NUR WIDYA RINI
Department of Physics Education, Universitas PGRI Semarang, Semarang, Indonesia
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemistry Earth & Planetary Sciences Energy Immunology & microbiology Neuroscience Physics

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On the dynamics of spring-pendulum system: an overview of configuration space and phase space SITI WAHYUNI; NUR WIDYA RINI; JOKO SAEFAN
Jurnal Natural Volume 24 Number 1, February 2024
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jn.v24i1.33247

Abstract

The dynamics of the spring-pendulum system with two degrees of freedom were studied. The motion of this system is restricted to be in a vertical plane so that the chosen generalized coordinates are the increased length of the spring  and the swing angle of pendulum . Hamiltonian of the system is obtained from the Legendre transformation of Lagrangian. Hamilton’s equation yields four differential equations that represent the dynamic of the system. The obtained results were visualized in configuration space and phase space trajectories. It is shown that generally the greater the initial swing angle, the more complex pattern will occur followed by the appearance of chaotic phenomena.
Co-Authors Joko Saefan Siti Wahyuni