Theoretical and experimental study of the normal modes in a coupled two-dimensional system

M.H. Giménez, J.C. Castro-Palacio, J.A. Gómez-Tejedor, L. Velazquez, J.A. Monsoriu


In this work, the normal modes of a two-dimensional oscillating
system have been studied from a theoretical and experimental point
of view. The normal frequencies predicted by the Hessian matrix for
a coupled two-dimensional particle system are compared to those
obtained for a real system consisting of two oscillating smartphones
coupled one to the other by springs. Experiments are performed on an
air table in order to {largely reduce the friction
forces}. The oscillation data are captured by the acceleration
sensor of the smartphones and exported to file for further analysis.
The experimental frequencies compare reasonably well with the
theoretical predictions, specifically, within 1.7% of discrepancy.


Smartphones; physics teaching; normal nodes

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Revista Mexicana de Física E

ISSN: 2683-2216 (on line), 1870-3542 (print)

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