Dr. Ashwini Kumar Sharma Associate Professor Department of Physics Indian Institute of Technology Guwahati Guwahati - 781 039, Assam, INDIA e-mail:    aksharma@iitg.ernet.in Phone:  +91-361-258-2724 (Off.), 4724 (Res.) Fax:        +91-361-2582749 / 2690762

PH201: Advanced Classical Mechanics, July - Nov, 2017

Welcome to the course PH201. This web page is intended to provide all the necessary information about the course.

Course coordinator

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

• Course details
• Class Schedule
• Exam Schedule
• Assignments

Course details

D’Alembert’s principle and Lagrange equation: Generalized coordinates. Lagrangian formulation of dynamical systems. D’Alemberts Principle. calculus of variations.

Principle of least action: Hamilton’s principle, Symmetry and conservation theorems, Hamiltonian Formulation, Legendre transformation, Poisson brackets.

Two body central force problem and conserved quantities: Conservation of angular momentum and energy, motion in gravitational potential, equation for the orbit, stability of orbits, angular momentum and Runge Lenz Vector.

Orthogonal transformation: Rigid body rotation about a fixed axis, moment of Inertia tensor, eigen values and principal axis transformations; Euler angles, Euler equations of a rigid body, precession of heavy symmetrical top.

Small oscillations: Dynamical matrix, normal modes.

Continuum mechanics: Transverse motion of a Taut String, the wave equation, boundary conditions, waves on a finite string, three-dimensional wave equation, volume and surface forces; Stress and Strain: the elastic moduli, the stress tensor, the strain tensor for a solid; Relation Between Stress and Strain: Hooke's law, the equation of motion for an elastic solid, longitudinal and transverse waves in a solid; Fluids: description of the motion, waves in a Fluid.

Texts
1. H. Goldstein, C. P. Poole and J. Safko, Classical Mechanics, 3rd Edition, Pearson (2012).
2. N. C. Rana and P. S. Joag, Classical Mechanics, Tata Mcgraw Hill (2001).

References
1. L. Landau and E. Lifshitz, Mechanics, Oxford (1981).
2. J. R. Taylor, Classical Mechanics,University ScienceBooks, 2003.

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

Class Schedule

Lectures:

Room No.: 4206

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

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 following link for the exam time table

http://shilloi.iitg.ernet.in/~acad/intranet/tt/ettJulyNov2017.htm

Assignments