Oscillations with three damping effects
Autor: | Chris Schmitt, Marvin G. Payne, Xiaojun Wang |
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Rok vydání: | 2002 |
Předmět: | |
Zdroj: | European Journal of Physics. 23:155-164 |
ISSN: | 1361-6404 0143-0807 |
DOI: | 10.1088/0143-0807/23/2/309 |
Popis: | Experiments on oscillatory motion are described with three different damping effects. The first experiment is a physical pendulum whose damping mechanism is due to sliding friction; the second is magnetic resistance due to eddy currents; and the third experiment involves a pendulum setup where air resistance is the dominant factor. These three damping mechanisms yield constant (� v/|�v|), linear, and quadratic resistances in velocity respectively. Approximation methods are described for treating the three damping effects and a general solution is derived for the damping with a very general velocity dependence. A sonic rangefinder is used to record the oscillatory motions of the pendulums. The experimental measurements and theoretical calculations are in a good agreement. |
Databáze: | OpenAIRE |
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