Course Code
P201
Credit
8
Prerequisite
- None -
Total Hours
42 Lectures + 14 Tutorials
Outcome of the Course
Training in basic classical mechanics, prepares the student for advanced mechanics courses.
Approval
Syllabus
- Principle of virtual work; constraints; D’Alemberts principle.
- Generalized coordinates, velocities and momenta; Euler-Lagrange formulation.
- Two-body central force problem (reduced mass); planet orbits; virial theorem.
- Collisions and scattering, CM and Lab frames, scattering crosssection.
- Motion in non-inertial frames; Coriolis force.
- Principle of least action; formulation by Maupertuis, Euler, Hamilton; Liou- villesstheorem.
- Hamiltons equations; Poisson brackets.
- Canonical transformations; Hamilton-Jacobi equation; generating functions; Symmetries and conservation laws.
- Small oscillations; normal modes
Reference Books
- Classical Mechanics, by Keith R. Symon, Pearson Education Dorling Kinderslay, 3rd Ed.
- Classical Mechanics, by W. B. Kibble & F. H. Berkshire, Imperial college press, 5th Ed. By Kibble
- Classical Mechanics by N. C. Rana & P. S. Joag, Mc Graw Hill Education
- Classical Mechanics by H. Goldstein, C. P. Poole, J. Safko, Pearson Education Dorling Kinderslay, 3rd Ed.