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Classical Mechanics II
F+mnrF 2014 . 2015 - 2º semestre
syllabus and bibliography 1 - Small oscillations of systems with N degrees of freedom. Normal modes of oscillation; the system of principal axes and normal coordinates. Forced and damped oscillations of systems. Resonance.
2 - Covariant formulation of special relativity: the Einstein's postulates, covariant formulation of the theory, invariance and conservation, center of mass system, threshold energy, elastic and inelastic collisions. 3 - Elements of tensor calculus: general transformations, tensors, the fundamental metric tensor. 4 - Deformable bodies/elasticity: tensor fields of deformations and stresses, the Cauchy equation, elastic energy and elastic hysteresis; observables of the theory of elasticity; the Navier equation, propagation of elastic waves , s and p waves. 5 - Deformable bodies/fluid mechanics: ideal fluids, the Euler and Bernoulli equations; real fluids, the Navier-Stokes equation, vorticity, the Reynolds number, boundary layer of Prandt; drag force, lift force, the D' Alembert paradox. Bibliography of reference GOLDSTEIN, H. (1980). Classical Mechanics. 2. ed. Addison-Wesley.
LANDAU & LIFSHITZ. Mechanics. LANDAU & LIFSHITZ. Elasticity. BHATIA A. B.; & SINGH, R. N. (1986). Mechanics of Deformable Media. Adam Hilger. FEYNMAN, R. P.; SANDS, R. B. Leightonm M. (1977). The Feynmann Lectures on Physics. Addison-Wesley. vol. II. JACKSON, J. D.. Classical Electrodynamics. MATHEWS & WALKER. Mathematical Methods of Physics MARION, J. B. & THORNTON, S. T. (1995). Classical Dynamics of Particles and Systems. 4. ed. Academic Press. FRENCH, A. P. (1968). Special Relativity. W. W. Norton. Mecânica clássica II, textos letivos (2013), J. Pinto da Cunha.
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