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
 

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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 detailstop

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 top

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 Scheduletop

Please visit the following link for the exam time table

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

Exam

Date

Time

Weightage

Quiz I

28.08.2017

09:00 – 09:30 hrs

10%

Midsem

19.09.2017

09:00 – 11:00 hrs

30%

Quiz II

30.10.2017

09:00 – 09:30 hrs

10%

Endsem

25.11.2017

09:00 – 12:00 hrs

40%

Assignment

To be submitted every Monday

10%

 

Assignmentstop

Tutorials/Quizzes/Exams

Tutorial 1

Tutorial 2

Tutorial 3

Quiz I

Tutorial 4

Tutorial 5

Tutorial 6

Midsem

Tutorial 7

Tutorial 8

Tutorial 9

Quiz II

Tutorial 10 

Tutorial 11

Tutorial 12

Endsem