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D.E. Jaramillo ; J. Osorio ;Revista Mexicana de Física 2016, 62 (1)

Author: P. Morales

Source: http://www.redalyc.org/


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Revista Mexicana de Física ISSN: 0035-001X rmf@ciencias.unam.mx Sociedad Mexicana de Física A.C. México Morales, P.; Jaramillo, D.E.; Osorio, J. Experimental aspects of the gyroscope’s movement Revista Mexicana de Física, vol.
62, núm.
1, enero-julio, 2016, pp.
44-50 Sociedad Mexicana de Física A.C. Distrito Federal, México Available in: http:--www.redalyc.org-articulo.oa?id=57048165007 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative EDUCATION Revista Mexicana de Fı́sica E 62 (2016) 44–50 JANUARY–JULY 2016 Experimental aspects of the gyroscope’s movement P.
Morales, D.E.
Jaramillo and J.
Osorio Instituto de Fı́sica, Universidad de Antioquia, Calle 67 No.
53-108, A.A.
12 26, Medellı́n, Colombia. Received 29 July 2015; accepted 23 November 2015 In presence of a uniform gravitational field, Euler equations for a gyroscope can be written as a non-linear equation for the components of Riemann’s stereographic projection of the symmetry axis over a horizontal plane.
Under the approximation of nutations with low amplitude, the solution of this equation corresponds to the sum of two rotating vectors with angular frequencies related to both angular velocities of nutation and precession.
Such velocities are functions of rotation rapidity and inertia momentum of the gyroscope.
From pictures of the movement projection of a commercial gyroscope, and using a laser that turn on during half revolution cycle of a disk, we can determine all kinematic quantities of the gyroscope, velocities of: rotation, precession and nutation, along with the angle of average inclination from axis. After complete a total of 120 experiments, we corroborate that the expressions given for velocities of precession and nutation, in function of...





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