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|Title:||Numerical study of motion of a spherical particle in a rotating parabola using Lagrangian|
|Keywords:||Lagrangian, Equations of Motion, Numerical Calculation, Runge-Kutta, ode45|
|Publisher:||The Serbian Society for Computational Mechanics (SSCM)|
|Series/Report no.:||Journal of the Serbian Society for Computational Mechanics;Vol. 12 , (1)|
|Abstract:||In this paper, we study the motion of a spherical particle in a rotating parabola using the Lagrangian method. As the first step, we construct the Lagrangian of the system, and then we obtain the Euler-Lagrange equations (i.e. equation of motion of the system). The obtained equation of motion is a homogenous second order equation. Finally, we solve this equation numerically using the ode45 code which is based on Runge-Kutta method.|
|Appears in Collections:||Applied science faculty|
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