dorsal/arxiv
View SchemaInitial-amplitude dependence in weakly damped oscillators
| Authors | Avinash Singh |
|---|---|
| Categories | |
| ArXiv ID | physics/0206086 |
| URL | https://arxiv.org/abs/physics/0206086 |
Abstract
A pedagogically instructive experimental procedure is suggested for distinguishing between different damping terms in a weakly damped oscillator, which highclights the connection between non-linear damping and initial-amplitude dependence. The most common damping terms such as contact friction, air resistance, viscous drag, and electromagnetic damping have velocity dependences of the form constant, v, or v^2. The corresponding energy dependences of the form \sqrt{E}, E, or E\sqrt{E} in the energy loss equation give rise to characteristic dependence of the amplitude decay slope on the initial amplitude.
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"abstract": "A pedagogically instructive experimental procedure is suggested for\ndistinguishing between different damping terms in a weakly damped oscillator,\nwhich highclights the connection between non-linear damping and\ninitial-amplitude dependence. The most common damping terms such as contact\nfriction, air resistance, viscous drag, and electromagnetic damping have\nvelocity dependences of the form constant, v, or v^2. The corresponding energy\ndependences of the form \\sqrt{E}, E, or E\\sqrt{E} in the energy loss equation\ngive rise to characteristic dependence of the amplitude decay slope on the\ninitial amplitude.",
"arxiv_id": "physics/0206086",
"authors": [
"Avinash Singh"
],
"categories": [
"physics.ed-ph"
],
"title": "Initial-amplitude dependence in weakly damped oscillators",
"url": "https://arxiv.org/abs/physics/0206086"
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