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ଜାତୀୟ ବିଜ୍ଞାନ ଶିକ୍ଷା ଏବଂ ଗବେଷଣା ପ୍ରତିଷ୍ଠାନ
राष्ट्रीय विज्ञान शिक्षा एवंअनुसंधान संस्थान
National Institute of Science Education and Research

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  2. P201 Classical Mechanics-I

P201 Classical Mechanics-I

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
UG-Core
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
  1. Classical Mechanics, by Keith R. Symon, Pearson Education Dorling Kinderslay, 3rd Ed.
  2. Classical Mechanics, by W. B. Kibble & F. H. Berkshire, Imperial college press, 5th Ed. By Kibble
  3. Classical Mechanics by N. C. Rana & P. S. Joag, Mc Graw Hill Education
  4. Classical Mechanics by H. Goldstein, C. P. Poole, J. Safko, Pearson Education Dorling Kinderslay, 3rd Ed.
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