AMAT 21015

>< Type/ Status : Core
>< Title : Mechanics II
>< Pre-requisites : AMAT 12025/PHYS 11014
>< Objectives :
At the end of this course, the student will be able to gain a sound knowledge of Lagrangian and Hamiltonian approaches to mechanics, and of variational principles.
>< Course Content :

Lagrangian Mechanics:

Generalized coordinates, Lagrange’s equations of motion for elementary systems, Constraint forces, Lagrange’s equation of motion for holonomic systems, Determination of holonomic constraint forces, Generalized force functions, Lagrange equations, Constants of motion in the Lagrangian formalism, Eularian angles, Motion of a symmetrical top, Lagrange equation of motion for impulsive motion, Normal modes.

Hamiltonian Mechanics:

Hamilton’s equations of motion, Canonical transformations, Poisson brackets, Lagrange brackets. All forms of generating functions, Poisson formalism.

Variational Principles:

D’Alambert’s principle.

>< Methodology : A combination of lectures and tutorial discussions
>< Scheme of Evaluation : Based on tutorials, tests and end of course examination
>< Recommended Reading :
1. Chorlton, F. (1969). Text book of Dynamics, D. Van Nostrand.
2. Ramsey, A.S. (1975). Dynamics,Parts I & II, Cambridge University Press.
3. Goldstein, H. (1977). Classical Mechanics,Addison Wesley.

Back