Mechanics of a systems of particles; generalised coordinates, D'Alembert's principle and Lagrange's equation. Variational principles and Lagrange's equations, conservation theorems and symmetry properties. Central force motion, Kepler's laws, orbital dynamics, stability of circular orbits, precession of equinoxes and of satellite orbits. Rigid body motion, Euler angles, inertia tensor and moment of inertia, Euler's equations of motion, free motion of rigid bodies, motion of symmetric top. Hamiltonian's canonical equations of motion; Principle of least action; Small oscillations, normal coordinates and normal mode frequencies; Canonical transformations. Hamiltonian-Jacobi theory of linear oscillatory systems, Hamiltonian's principle and characteristic functions, separation of variables, action-angle variables.
Goldstein, H., P. Poole, C. P. and John L. Safko, J. L., (2001), Classical Mechanics, Addidon-Wesley
Slater, J. C. & Frank, N. H., Mechanics, McGraw Hill, New York
ontinuous Assessment - 40%
Written Examination - 60% (1x3 hrs)
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