A velocity-dependent potential of a rigid body in a rotating frame
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 u...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2008
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 05579caa a22005897a 4500 | ||
|---|---|---|---|
| 001 | PAPER-5589 | ||
| 003 | AR-BaUEN | ||
| 005 | 20241003121222.0 | ||
| 008 | 190411s2008 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-56649084928 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Moreno, G.A. | |
| 245 | 1 | 2 | |a A velocity-dependent potential of a rigid body in a rotating frame |
| 260 | |c 2008 | ||
| 270 | 1 | 0 | |m Moreno, G. A.; Departamento de Física J. J. Giambiagi, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina; email: morenog@df.uba.ar |
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| 504 | |a Coriolis, G.G., Ḿmoire sur les ́quations du mouvement relatif des syst̀mes de corps (1835) J. Ec. Polytech. (Paris), 15, pp. 142-154 | ||
| 504 | |a 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 | ||
| 504 | |a Hagenow, C.F., Is there a centrifugal force? (1935) Am. Phys. Teach., 3, p. 190 | ||
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| 504 | |a Landau, L.D., Lifshitz, E.M., (1976) Mechanics, , 3rd ed. (Pergamon Press, Oxford) | ||
| 504 | |a Sivardiere, J., On the analogy between inertial and electromagnetic forces (1983) Eur. J. Phys., 4, pp. 162-164 | ||
| 504 | |a Schering, E., Hamilton-Jacobische Theorie für kräfte, deren maass von der bewegung der körper abhängt (1873) Abh. Gesellschaft Wiss. Göttingen, 18, pp. 3-54 | ||
| 504 | |a 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] | ||
| 504 | |a Whittaker, E.T., (1904) A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, , (Cambridge U. P., Cambridge) | ||
| 504 | |a Goldstein, H., (1981) Classical Mechanics, p. 21. , (Addison-Wesley, Reading, MA), | ||
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| 504 | |a Opat, G.I., Coriolis and magnetic forces: The gyrocompass and magnetic compass as analogs (1990) Am. J. Phys., 58, pp. 1173-1176 | ||
| 504 | |a Barcelos-Neto, J., Dias Da Silva, M.B., An example of motion in a rotating frame (1989) Eur. J. Phys., 10, pp. 305-308 | ||
| 504 | |a Weltner, K., Stable circular orbits of freely moving balls on rotating discs (1979) Am. J. Phys., 47, pp. 984-986 | ||
| 504 | |a 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 | ||
| 504 | |a (1977) Differential Equations and Variational Calculus, , Lev Elsgoltz, (MIR, Moscow) | ||
| 504 | |a Noether, E., Invariante Variationsprobleme (1918) Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl., 2, pp. 235-257 | ||
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| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a Departamento de Física J. J. Giambiagi, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina | ||
| 593 | |a Centro Atómico Bariloche, Instituto Balseiro, Universidad Nacional de Cuyo, 8400 S. C. de Bariloche, Río Negro, Argentina | ||
| 700 | 1 | |a Barrachina, Raúl Oscar | |
| 773 | 0 | |d 2008 |g v. 76 |h pp. 1146-1149 |k n. 12 |p Am. J. Phys. |x 00029505 |w (AR-BaUEN)CENRE-366 |t American Journal of Physics | |
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| 856 | 4 | 0 | |u https://doi.org/10.1119/1.2982632 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00029505_v76_n12_p1146_Moreno |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029505_v76_n12_p1146_Moreno |y Registro en la Biblioteca Digital |
| 961 | |a paper_00029505_v76_n12_p1146_Moreno |b paper |c NP | ||
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| 963 | |a NORI | ||
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