| Home > Publications database > Oscillations of a suspended slinky |
| Journal Article | GSI-2022-00404 |
2021
IOP Publ.
Bristol
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Please use a persistent id in citations: doi:10.1088/1361-6404/abcddf
Abstract: This paper discusses the oscillations of a spring (slinky) under its own weight. Adiscrete model, describing the slinky by N springs and N masses, is introducedand compared to a continuous treatment. One interesting result is that the upperpart of the slinky performs a triangular oscillation whereas the bottom part per-forms an almost harmonic oscillation if the slinky starts with ‘natural’ initialconditions, where the spring is just pushed further up from its rest position undergravity and then released. It is also shown that the period of the oscillation issimply given by T = √32L/g, where L is the length of the slinky under its ownweight and g the acceleration of gravity, independent of the other properties ofthe spring.
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