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2. Motion in Nominertial frames of reference Rotating coordinate systems, Coriolis force, motion relative to the Earth. 3. Lagrangian and Hamiltonian dynamics. Hamilton's Principle, generalised coordinates, undetermined multipliers, equivalence of Lograge's and Newton's equations, Conservation of Energy, Linear momentum, angular momentum. Hamiltonian dynamics. Phase space and Liouville's theorem. 4. Central force motion; reduced mass conservation theorems, equations of motion, orbits in central field, centrifugal energy and effective potential. Planetary motion. Stability of circular orbits. 5. Dynamics of rigid bodies; the Inertia tensor Angular momentum, Principal axes of inertial Moments of inertia for different body coordinate systems, Eulerian angles, Euler's equations of motion, force-free motion of symmetrical top, stability of rigid body motion. 6. Small oscillations; two coupled harmonic oscillators, General problem of coupled oscillators. Othergonality of eigenvectors, Normal coordinates. Linearly couple pendula, degeneracy, Loaded, string, continuous string as limit. Assessment is by assignments and examination. Prerequisite: PHS 201. Programmes for which this course is required or in which it can be included: Bachelor of Science Honours in Education/Physics. | |||||||||||||||||||
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070315 CALCULUS, ANALYSIS, DYNAMICS | ||||||||||||||||||
Date: | 01 September 1992 bb
Source: COSIT Brochure |
© 1999 International Centre for Distance Learning, The Open University