Ashwini Kumar Sharma, Ph.D. Professor Department of Physics Indian Institute of Technology Guwahati Guwahati - 781 039, Assam, INDIA e-mail:    aksharma@iitg.ac.in Phone:  +91-361-258-2724 (Off.) Fax:        +91-361-2582749 / 2690762

PH403: Classical Mechanics, July - Nov, 2024

Welcome to the course PH403. This web page is intended to provide all the necessary information about the course.

Course coordinator

Prof. Ashwini Kumar Sharma
Room No. 107
Department of Physics,
Email: aksharma@iitg.ac.in
Tel: 2724

• Course details
• Class Schedule
• Exam Schedule
• Assignments

Course details

D’Alembert’s principle and Lagrange equation: Generalized coordinates, principle of virtual work, D’Alembert’s principle, Lagrangian formulation and simple applications.

Variational principle and Lagrange equation: Hamilton’s principle, Lagrange equation from Hamilton’s principle, Extension to non-Holonomic systems, Lagrange multipliers, symmetry and con-servation laws.

Hamiltonian formulation: Legendre transformations, Hamilton’s equations, symmetries and conser-vation laws in Hamiltonian picture, Hamilton’s principle, canonical transformations, Poisson brackets, Hamilton Jacobi theory, action-angle variables.

Central force problem: Two body problem in central force, Equations of motion, effective potential energy, nature of orbits, Virial theorem, Kepler’s problem, condition for closure of orbits, scattering in a central force field, centre of mass and laboratory frame.

Rotating frame: Angular velocity, Lagrange equation of motion, inertial forces.

Rigid body motion: kinetic energy, momentum of inertia tensor; angular momentum, Euler angles, heavy symmetrical top, Euler equations, stability conditions.

Small Oscillations: Eigenvalue problem, frequencies of free vibrations and normal modes, forced vibrations, dissipation

Texts
1. H. Goldstein, C. P. Poole and J. Safko, Classical Mechanics, 3rd Edition, Pearson (2012).
References
1. N. C. Rana and P. S. Joag, Classical Mechanics, Tata Mcgraw Hill (2001).
2. L. Landau and E. Lifshitz, Mechanics, Oxford (1981).
3. S. N. Biswas, Classical Mechanics, Books and Allied (P) Ltd.,Kolkata (2004) .
4. F. Scheck, Mechanics, Springer (1994).

You may also refer any other text book that you feel comfortable with.

Class Schedule

Lectures:

Room No.: 4G2

Monday: 09:00 - 09:55 hrs (Tutorials)

Tuesday: 10:00 - 10:55 hrs

Wednesday: 11:00 - 11:55 hrs

Friday : 08:00 - 08:55 hrs

Student timings: Through appointment (by email)

Exam Schedule

Please visit the academic section for the exam time table.

Assignments: 10%

Assignments