Artículo

La versión final de este artículo es de uso interno de la institución. El editor no permite incluir ninguna versión del artículo en el Repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We derive a velocity-dependent potential for describing the dynamics of a rigid body in a rotating frame. We show that, as for one-particle systems, the different components of this potential can be associated with electromagnetic analogs. We provide some examples to demonstrate the feasibility of using the potential as an alternative description of rigid body problems. © 2008 American Association of Physics Teachers.

Registro:

Documento: Artículo
Título:A velocity-dependent potential of a rigid body in a rotating frame
Autor:Moreno, G.A.; Barrachina, R.O.
Filiación:Departamento de Física J. J. Giambiagi, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Centro Atómico Bariloche, Instituto Balseiro, Universidad Nacional de Cuyo, 8400 S. C. de Bariloche, Río Negro, Argentina
Año:2008
Volumen:76
Número:12
Página de inicio:1146
Página de fin:1149
DOI: http://dx.doi.org/10.1119/1.2982632
Título revista:American Journal of Physics
Título revista abreviado:Am. J. Phys.
ISSN:00029505
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029505_v76_n12_p1146_Moreno

Referencias:

  • Semon, M.D., Schmieg, G.M., Note on the analogy between inertial and electromagnetic forces (1981) Am. J. Phys., 49, pp. 689-690
  • Laplace, This force was named after Coriolis (1792-1843), Refs. who described it in 1832-1835, although it was first introduced by, (1749-1827) half a century before (Ref.) in relation to tidal forces; Coriolis, G.G., Ḿmoire sur le principe des forces vives dans les mouvements relatifs des machines (1832) J. Ec. Polytech. (Paris), 13, pp. 268-302
  • Coriolis, G.G., Ḿmoire sur les ́quations du mouvement relatif des syst̀mes de corps (1835) J. Ec. Polytech. (Paris), 15, pp. 142-154
  • Laplace, P.S., Recherches sur plusieurs points du systeme du monde (1776) Memoires de l'Academie Royale des Sciences de Paris, 88, pp. 75-182
  • Hagenow, C.F., Is there a centrifugal force? (1935) Am. Phys. Teach., 3, p. 190
  • Scott, G.D., Centrifugal forces and Newton's laws of motion (1957) Am. J. Phys., 25, p. 325
  • Landau, L.D., Lifshitz, E.M., (1976) Mechanics, , 3rd ed. (Pergamon Press, Oxford)
  • Sivardiere, J., On the analogy between inertial and electromagnetic forces (1983) Eur. J. Phys., 4, pp. 162-164
  • Schering, E., Hamilton-Jacobische Theorie für kräfte, deren maass von der bewegung der körper abhängt (1873) Abh. Gesellschaft Wiss. Göttingen, 18, pp. 3-54
  • Weber, W., I. Elektrodynamische Maassbestimmungen (1848) Ann. Phys. Chem., 73, pp. 193-240. , [shortened version of the 1846 paper published in the Abhandlungen der Koniglichen Sachsischen Gesellschaft der Wissenschaften, Leipzig]
  • Whittaker, E.T., (1904) A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, , (Cambridge U. P., Cambridge)
  • Goldstein, H., (1981) Classical Mechanics, p. 21. , (Addison-Wesley, Reading, MA),
  • Coffman, M.L., Velocity-dependent potentials for particles moving in given orbits (1952) Am. J. Phys., 20, pp. 195-199
  • Coisson, R., On the vector potential of Coriolis forces (1973) Am. J. Phys., 41, p. 585
  • Rousseaux, G., The gauge non-invariance of classical electromagnetism (2005) Ann. Fond. Louis Broglie, 30, pp. 387-396
  • May, M.B., Elmer A. Sperry and the gyrocompass (2007) Inst. Navigation Newslet., 17, pp. 8-9
  • Opat, G.I., Coriolis and magnetic forces: The gyrocompass and magnetic compass as analogs (1990) Am. J. Phys., 58, pp. 1173-1176
  • Barcelos-Neto, J., Dias Da Silva, M.B., An example of motion in a rotating frame (1989) Eur. J. Phys., 10, pp. 305-308
  • Weltner, K., Stable circular orbits of freely moving balls on rotating discs (1979) Am. J. Phys., 47, pp. 984-986
  • Bloch, A.M., Krishnaprasad, P.S., Marsden, J.E., Murray, R., Nonholonomic mechanical systems with symmetry (1996) Arch. Ration. Mech. Anal., 136, pp. 21-99
  • (1977) Differential Equations and Variational Calculus, , Lev Elsgoltz, (MIR, Moscow)
  • Noether, E., Invariante Variationsprobleme (1918) Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl., 2, pp. 235-257
  • Desloge, E.A., Karch, R.I., Noether's theorem in classical mechanics (1976) Am. J. Phys., 45, pp. 336-339

Citas:

---------- APA ----------
Moreno, G.A. & Barrachina, R.O. (2008) . A velocity-dependent potential of a rigid body in a rotating frame. American Journal of Physics, 76(12), 1146-1149.
http://dx.doi.org/10.1119/1.2982632
---------- CHICAGO ----------
Moreno, G.A., Barrachina, R.O. "A velocity-dependent potential of a rigid body in a rotating frame" . American Journal of Physics 76, no. 12 (2008) : 1146-1149.
http://dx.doi.org/10.1119/1.2982632
---------- MLA ----------
Moreno, G.A., Barrachina, R.O. "A velocity-dependent potential of a rigid body in a rotating frame" . American Journal of Physics, vol. 76, no. 12, 2008, pp. 1146-1149.
http://dx.doi.org/10.1119/1.2982632
---------- VANCOUVER ----------
Moreno, G.A., Barrachina, R.O. A velocity-dependent potential of a rigid body in a rotating frame. Am. J. Phys. 2008;76(12):1146-1149.
http://dx.doi.org/10.1119/1.2982632