An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake
The problem of a ball bouncing in n-hops, despite being a problem extremely easy to observe, is a problem treated by classical mechanics and which, to this day, is without an analytical solution, due to its complexity of mathematical modeling. In this work, we present and discuss experimental measur...
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Sociedade Brasileira de Física
2025-01-01
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Series: | Revista Brasileira de Ensino de Física |
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Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100701&lng=en&tlng=en |
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author | Tiago S. Pacheco Edinei C. Paiva Sebastião B. Amorim |
author_facet | Tiago S. Pacheco Edinei C. Paiva Sebastião B. Amorim |
author_sort | Tiago S. Pacheco |
collection | DOAJ |
description | The problem of a ball bouncing in n-hops, despite being a problem extremely easy to observe, is a problem treated by classical mechanics and which, to this day, is without an analytical solution, due to its complexity of mathematical modeling. In this work, we present and discuss experimental measurements for a damped mechanical oscillator that has characteristics identical to the problem of bouncing a ball performing n-hops. Furthermore, we also propose equations to adjust experimental data that behave reasonably within a certain oscillation limit. With the same experiment it is also possible to study rectilinear motion and circular motion, with constant v and ω, this is possible when approaching the experiment with the use of magnetic braking by adding an HD magnet, allowing to determine the speed v of the block during the descent and the angular speed ω of the rotating disk. |
format | Article |
id | doaj-art-499df81b2d8d4d57a68fb006c4f8d5ef |
institution | Kabale University |
issn | 1806-9126 |
language | Portuguese |
publishDate | 2025-01-01 |
publisher | Sociedade Brasileira de Física |
record_format | Article |
series | Revista Brasileira de Ensino de Física |
spelling | doaj-art-499df81b2d8d4d57a68fb006c4f8d5ef2025-02-04T07:37:34ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262025-01-014710.1590/1806-9126-rbef-2024-0327An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brakeTiago S. Pachecohttps://orcid.org/0000-0002-0798-8184Edinei C. PaivaSebastião B. AmorimThe problem of a ball bouncing in n-hops, despite being a problem extremely easy to observe, is a problem treated by classical mechanics and which, to this day, is without an analytical solution, due to its complexity of mathematical modeling. In this work, we present and discuss experimental measurements for a damped mechanical oscillator that has characteristics identical to the problem of bouncing a ball performing n-hops. Furthermore, we also propose equations to adjust experimental data that behave reasonably within a certain oscillation limit. With the same experiment it is also possible to study rectilinear motion and circular motion, with constant v and ω, this is possible when approaching the experiment with the use of magnetic braking by adding an HD magnet, allowing to determine the speed v of the block during the descent and the angular speed ω of the rotating disk.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100701&lng=en&tlng=enDamped mechanical oscillatorbouncing a ballmagnetic braking |
spellingShingle | Tiago S. Pacheco Edinei C. Paiva Sebastião B. Amorim An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake Revista Brasileira de Ensino de Física Damped mechanical oscillator bouncing a ball magnetic braking |
title | An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake |
title_full | An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake |
title_fullStr | An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake |
title_full_unstemmed | An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake |
title_short | An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake |
title_sort | experimental approach to a variable period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake |
topic | Damped mechanical oscillator bouncing a ball magnetic braking |
url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100701&lng=en&tlng=en |
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