Numerical study of the motion of a heavy ball sliding on a ratating wire

Authors

  • J. Asad Palestine Technical University- Kadoorie- Tulkarm- Palestine
  • O. Florea Transilvania University of Brasov, Romania
  • H. Khalilia Palestine Technical University- Kadoorie- Tulkarm- Palestine

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.1.3

Keywords:

Lagrange of a heavy ball, revolving wire, Euler-Lagrange equation, numerical calculation, Runge-Kutta method, ode45

Abstract

The motion of a heavy ball slipping on a revolving wire was considered in this study. The importance of the system studied here arises from the fact that the motional energy in this situation a function of both the dynamical variable and its derivative. Our first step was constructing the classical Lagrangain. After that the Euler- Lagrange equation is derived. Finally, we solve the obtained Euler- Lagrange equation analytically and numerically using the ode45 code which is based on Runge-Kutta method.

Author Biographies

J. Asad, Palestine Technical University- Kadoorie- Tulkarm- Palestine

Dep. of physics- College of Applied Sciences- P. O. Box 7

O. Florea, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

H. Khalilia, Palestine Technical University- Kadoorie- Tulkarm- Palestine

Dep. of Applied Computing- College of Applied Sciences- P. O. Box 7

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Published

2020-07-22

Issue

Vol. 13(62) No. 1 (2020)

Section

MATHEMATICS