Detecting anharmonicity at a glance

Giliberti, Marco; Stellato, Marco; Barbieri, Sara; Cavinato, Michela; Rigon, Enrico; Tamborini, M.

doi:10.1088/0143-0807/35/6/065012

Cited by 5 publications

(6 citation statements)

References 8 publications

(7 reference statements)

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“…All measurements were made by acquiring videos of the motion of the spool through a 30 fps video camera and by then analysing the videos using Tracker software. Following the calculations reported in [1] we obtain that the oscillation period T strongly depends on the amplitude of the oscillations, which is a typical signature of anharmonicity [6]. The experimental results for the period as a function of the amplitude are reported in figure 1.…”

supporting

confidence: 68%

The surprising rolling spool: librational motion and failure of the pure rolling condition

Onorato¹,

Malgieri²,

Mascheretti³

et al. 2015

Eur. J. Phys.

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In a previous work (Onorato P, Malgieri M, Mascheretti P and De Ambrosis A 2014 The surprising rolling spool: experiments and theory from mechanics to phase transitions Eur. J. Phys. 35 055011) an asymmetric rolling spool (ARS) was investigated as a simple model for a second-order phase transition. Here, we deepen the study of this system to address critical aspects related both to the characteristic of the oscillatory anharmonic motion and to the role of friction forces in determining it. The experimental data show that for largely asymmetric bodies the rolling condition is not reliably fulfilled because the intensity of the friction force goes below the needed value to ensure rolling without slipping.

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supporting

confidence: 68%

The surprising rolling spool: librational motion and failure of the pure rolling condition

Onorato¹,

Malgieri²,

Mascheretti³

et al. 2015

Eur. J. Phys.

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“…Observe that the motion is similar to a periodic one, in that the marble returns infinite times to the ground, however the 'period' depends on the amplitude, which is h n . This is therefore a typical case of an anharmonic motion [38].…”

Section: Physics and Mathematics Of The Bouncesmentioning

confidence: 95%

Achilles overtakes the turtle: experiments and theory addressing students’ difficulties with infinite processes

Luca¹,

Mauro²,

Naddeo³

et al. 2020

Phys. Educ.

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The difficulties students have in blending mathematics and physics are here analyzed, by focusing on the issue of a convergent series. We present an experimental and a theoretical analysis of some phenomena which can be investigated employing series, as the bouncing marble and Zeno’s paradox of Achilles and the turtle. Measurements were carried out by students employing ICT instruments, such as the smartphone microphone, the smartphone camera or online motion sensors and results were the grounds for a deep discussion about the apparent paradox and the sources of students’ misunderstanding. The activities were designed for students on introductory university courses or in advanced high-school classes and was implemented with 90 students of mathematics and physics who are interested in a curriculum addressed to the teaching of mathematics and physics at high school level. Results about their preconceptions before the sequence and some quotes of their metacognitive thinking after the activities are reported.

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“…Conducting experiments with pendulum may improve student satisfaction under selfevaluation of their learning experience and knowledge of the subject [28]. Of course, real world devices are not completely harmonic; both spring-mass systems [29] and pendulum [30] beyond the small displacement or oscillation angle limit, in that order, serve as examples of basic non-linear models that undergraduate students may build using simple materials.…”

Section: Literature Reviewmentioning

confidence: 99%

Effects of a Thermal Inversion Experiment on STEM Students Learning and Application of Damped Harmonic Motion

et al. 2021

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There are diverse teaching methodologies to promote both collaborative and individual work in undergraduate physics courses. However, few educational studies seek to understand how students learn and apply new knowledge through open-ended activities that require mathematical modeling and experimentation focused on environmental problems. Here, we propose a novel home experiment to simulate the dynamics of a flue gas under temperature inversion and model it as damped harmonic motion. After designing and conducting the experiment, twenty six first year students enrolled in STEM majors answered six qualitative questions to inform us about their epistemological beliefs regarding their learning process. Their answers imply that this type of open-ended experiments may facilitate students’ understanding of physical phenomena and point to the significance of physics instructors as promoters of epistemological development. In general, students described this activity as a positive experience that helped them connect an environmental phenomenon with a fundamental physics concept.

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Detecting anharmonicity at a glance

Cited by 5 publications

References 8 publications

The surprising rolling spool: librational motion and failure of the pure rolling condition

The surprising rolling spool: librational motion and failure of the pure rolling condition

Achilles overtakes the turtle: experiments and theory addressing students’ difficulties with infinite processes

Effects of a Thermal Inversion Experiment on STEM Students Learning and Application of Damped Harmonic Motion

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