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ERIC Number: EJ1090076
Record Type: Journal
Publication Date: 2016-Mar
Pages: 7
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0031-9120
EISSN: N/A
Understanding the Damped SHM without ODEs
Ng, Chiu-king
Physics Education, v51 n2 Article 025006 Mar 2016
Instead of solving ordinary differential equations (ODEs), the damped simple harmonic motion (SHM) is surveyed qualitatively from basic mechanics and quantitatively by the instrumentality of a graph of velocity against displacement. In this way, the condition b ? [square root]4mk for the occurrence of the non-oscillating critical damping and heavy-damping is derived. Besides, we prove in the under-damping, the oscillation is isochronous and the diminishing amplitude satisfies a rule of "constant ratio". All are done on a non-ODE basis.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A