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Title: PHS 301, Classical Mechanics II
Institution: University of Lagos, Nigeria

Level:

Degree.

Description:
1. Kinematics of two-particle collisions, Elastic Collisions; centre of mass and laboratory co-ordinate systems. Kinematics of elastic collisions, collision cross section. Rutherford scattering.
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.


Languages:

English

Media and methods employed: Printed text, tV broadcast, radio broadcasts, face-to-face tutorials.
Printed correspondence texts prepared by institution, face-to-face tuition, radio, television via cable.

Administrative information:
This course is equivalent to 2 hours of instruction per week. It is a 1 semester course (15 weeks) and awards 2 units.


Classification:

070430 PHYSICS
070315 CALCULUS, ANALYSIS, DYNAMICS

Date: 01 September 1992 bb
Source: COSIT Brochure

© 1999 International Centre for Distance Learning, The Open University


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