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- Title
The method of the apparent vertical applied to pendulum dynamics.
- Authors
Múnera, Héctor A.; Maya, Héctor R.
- Abstract
The paper describes the geometrical method of the apparent vertical (MAV for short) for the solution of a large class of problems in elementary classical mechanics: perturbation of a dynamical system by a constant or nearly constant force, not necessarily small. The basic idea is to rotate the system of coordinates so that the z-axis coincides with an "apparent" acceleration of gravity. The solution in the rotated system is simpler than in the unrotated coordinates, and it is usually known. The methodology is illustrated with a spherical pendulum in a uniform field of force, where the standard solution in terms of elliptic functions is directly applicable in the rotated system of coordinates. The trajectory of the bob in the usual coordinates attached to the laboratory is obtained by a straightforward rotation of coordinates, thus allowing calculation of the observable parameters: amplitude, period, and plane of oscillation of the pendulum.
- Subjects
MECHANICS (Physics); DYNAMICS; QUANTUM perturbations; OSCILLATIONS; PENDULUMS
- Publication
Latin-American Journal of Physics Education, 2011, Vol 5, Issue 1, p22
- ISSN
1870-9095
- Publication type
Article