76939 20200716101447.0 doi 10.1088/1361-6404/aae8b5 sideral 109733 ART-2019-109733 eng (orcid)0000-0001-7275-9321 Gómez, J.B. Universidad de Zaragoza Parabolic curves in a Helmholtz solution for a bowed string 2019 Access copy available to the general public Unrestricted If one is not familiar with the physics of the violin, it is not easy to guess, even for an experimental physicist, that the so-called Helmholtz motion can be obtained as a solution to the one-dimensional wave equation for the motion of a bowed violin string. It is worth visualising this aspect from a graphical perspective without recourse to ordinary Fourier analysis, as has customarily been done. We show in this paper how to obtain the shape of the Helmholtz trajectory, that is, two mirror-symmetric parabolas, in the ideal case of no losses from internal dissipation and no viscous drag from the air and the non-rigid end supports. We also show that the velocity profile of the Helmholtz motion is also a solution of the one-dimensional wave equation. Finally, we again derive the parabolic shape of the Helmholtz trajectory by applying the principle of energy conservation to a violin string. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.756 2019 PHYSICS, MULTIDISCIPLINARY 69 / 85 = 0.812 2019 Q4 T3 EDUCATION, SCIENTIFIC DISCIPLINES 36 / 41 = 0.878 2019 Q4 T3 0.437 2019 Physics and Astronomy (miscellaneous) 2019 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Brun, J.L. 2000 685 Universidad de Zaragoza Dpto. Ciencias de la Tierra Área Petrología y Geoquímica 40, 1 (2019), 015802 [13 pp] Eur. j. phys. EUROPEAN JOURNAL OF PHYSICS 0143-0807 800728 http://zaguan.unizar.es/record/76939/files/texto_completo.pdf Versión publicada 63131 http://zaguan.unizar.es/record/76939/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:76939 articulos driver 2020-07-16-09:04:11 ARTICLE