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- Title
Numerical study of pendulums: From the simple pendulum approximation to the damped physical pendulum with variable mass.
- Authors
Espíndola-Heredia, R.; del Valle, G.; Hernández, G.
- Abstract
Using the numerical method of Runge-Kutta for systems of nonlinear ordinary differential equations of second order with initial conditions, we studied different systems: the simple pendulum, mathematical pendulum (without approximation of small angles), the damped pendulum (with damping constant v), the physical pendulum (with moment of inertia I = 1/3ML²), the physical pendulum damped (with the same moment of inertia and damping constant v), the physical pendulum with variable mass (considering only one case: linear dependence of mass with respect to time) and finally the damping physical pendulum with variable mass. In all systems were studied different initial conditions, show some solutions for the position, velocity and the phase plane, and discusses some cases of interest.
- Subjects
PENDULUMS; OSCILLATIONS; APPROXIMATION theory; PHYSICAL pendulum; VARIABLE mass systems
- Publication
Latin-American Journal of Physics Education, 2012, Vol 6, Issue 2, p201
- ISSN
1870-9095
- Publication type
Article