Journal Article GSI-2022-00404

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Oscillations of a suspended slinky



2021
IOP Publ. Bristol

European journal of physics 42(4), 045008 () [10.1088/1361-6404/abcddf]

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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.

Classification:

Contributing Institute(s):
  1. Forschungszentrum Jülich (FZJ)
Research Program(s):
  1. 899 - ohne Topic (POF4-899) (POF4-899)
Experiment(s):
  1. External experiment at external facility/ no experiment at GSI (POF3; other)

Appears in the scientific report 2021
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 Record created 2022-02-18, last modified 2023-10-15