2022
DOI: 10.1088/1361-6404/ac79df
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Huygens’ cycloidal pendulum: an elementary derivation

Abstract: A pedagogical derivation of the Huygens cycloidal pendulum, suitable for undergraduates, is here presented. Our derivation rests only on simple algebraic and geometrical tricks, without the need of Calculus.

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Cited by 1 publication
(2 citation statements)
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“…Table 1 shows large-displacement data for three measurements of a pendulum swing against the set of small cheeks: one with a matching pendulum length of 25 cm, a second one with a too short length of 12.5 cm and third one with a too long length of 56 cm. The data illustrate that the cheeks undercompensate in case of a too long pendulum and make the period larger than the theoretical small-angle period computed with formula (5). In case of a too short pendulum, the cheeks overcompensate and the period becomes less than the theoretical small-angle period.…”
Section: Swinging Against Cycloidal Cheeks Of Huygens For a Pendulum ...mentioning
confidence: 70%
See 1 more Smart Citation
“…Table 1 shows large-displacement data for three measurements of a pendulum swing against the set of small cheeks: one with a matching pendulum length of 25 cm, a second one with a too short length of 12.5 cm and third one with a too long length of 56 cm. The data illustrate that the cheeks undercompensate in case of a too long pendulum and make the period larger than the theoretical small-angle period computed with formula (5). In case of a too short pendulum, the cheeks overcompensate and the period becomes less than the theoretical small-angle period.…”
Section: Swinging Against Cycloidal Cheeks Of Huygens For a Pendulum ...mentioning
confidence: 70%
“…Then the period gets smaller (because the period increases for larger initial amplitudes, this increase is compensated).' A calculus-based derivation of the isochronous property of cycloidal pendulum of Huygens requires too advanced mathematical concepts and techniques for secondary school students, but not for undergraduate physics students [5]. We discuss this in the next section.…”
Section: Schut Et Almentioning
confidence: 99%