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the claim

The period of oscillation for a mass is independent of the amplitude of the oscillation.

the verdict
REFUTED
the evidence says no
Recorded sources
0 sources for · 4 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the period of oscillation for a mass is independent of the amplitude of the oscillation?

No. The claim that the period of oscillation is independent of amplitude is incorrect for nonlinear systems and large amplitudes, where the period demonstrably varies with amplitude.

Verdict: REFUTED · 0 sources for, 4 against · Last checked

The analysis

Under the small-angle approximation, the period of a simple pendulum is approximately independent of amplitude (isochronism), but physically and mathematically, nonlinear oscillators and pendulums at larger amplitudes exhibit periods that depend strongly on the oscillation amplitude. The retrieved papers ([0], [6], [8], [9]) explicitly investigate and confirm the amplitude dependence of the period in nonlinear oscillators and pendulums.

Evidence against · 4
Approximate period for large-amplitude oscillations of a simple pendulum based on quintication of the restoring force
2019
The paper derives approximate formulas for pendulum oscillation periods showing that they are amplitude-dependent.
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Big-Alabo, A. (2019). Approximate period for large-amplitude oscillations of a simple pendulum based on quintication of the restoring force. doi.org. https://doi.org/10.1088/1361-6404/ab4b73

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More against · 3
How is the period of a simple pendulum growing with increasing amplitude?
2021
The study constructs mathematical sequences proving that the period of a simple pendulum increases with the amplitude.
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Lampret, V. (2021). How is the period of a simple pendulum growing with increasing amplitude?. doi.org. https://doi.org/10.1515/ms-2017-0473

Nonlinear oscillator acceleration and period variation with amplitude
2023
Experimental and theoretical investigation of a nonlinear spring-mass oscillator confirms that the oscillation period varies with amplitude.
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Hinrichsen, P. F. (2023). Nonlinear oscillator acceleration and period variation with amplitude. doi.org. https://doi.org/10.1119/5.0139124

FIXATION OF THE RELATION BETWEEN FREQUENCY AND AMPLITUDE FOR NONLINEAR OSCILLATOR HAVING FRACTIONAL TERM APPLYING MODIFIED MICKENS’ EXTENDED ITERATION METHOD
2022
The research models nonlinear oscillators demonstrating that the frequency and period are dependent on the initial amplitude of oscillations.
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Hossain, M. M. A. (2022). FIXATION OF THE RELATION BETWEEN FREQUENCY AND AMPLITUDE FOR NONLINEAR OSCILLATOR HAVING FRACTIONAL TERM APPLYING MODIFIED MICKENS’ EXTENDED ITERATION METHOD. doi.org. https://doi.org/10.26782/jmcms.2022.01.00007

What does the evidence say?

Under the small-angle approximation, the period of a simple pendulum is approximately independent of amplitude (isochronism), but physically and mathematically, nonlinear oscillators and pendulums at larger amplitudes exhibit periods that depend strongly on the oscillation amplitude. The retrieved papers ([0], [6], [8], [9]) explicitly investigate and confirm the amplitude dependence of the period in nonlinear oscillators and pendulums.

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