B.Sc. Part III, SEMISER-V

PHYSICS (PAPER-XI)

DSE-E3 CLASSICAL MECHANICS AND CLASSICAL ELECTRODYNAMICS

            This course develops concepts in Classical mechanics such that the behavior of the physical universe can be understood from a fundamental point of view. It provides a basis for further study of Classical mechanics. Content will include: Motion in central force field, Degrees of freedom, Moving co-ordinate system, generalized Co-ordinates, D’ Alembert’s principle, Coupled oscillation, Coriolis force, Motion of rigid body, Lagrange’s and Hamilton’s equation, symmetries and laws of conservation.

Course Outcomes:-

After successful completion of the course, the student is expected to:

CO1: understand Motion in central force field and D’ Alembert’s principle.

CO2: develop skill in computing Degrees of freedom and generalized coordinate.

C03: develop a qualitative understanding of Coupled oscillation.

CO4: Use the tools, methodologies, language and conventions of physics to test and communicate ideas and explanations.

CO5: Revise the knowledge of the Newtonian, the Lagrangian and the Hamiltonian formulations of classical mechanics and their applications in appropriate physical problems.

Skills to be learned:-

• Learn to define generalized coordinates, generalized velocities, generalized force and write Lagrangian for mechanical system in terms of generalized coordinates.
• Learn to derive Euler-Lagrange equation of motion.
• Learn to write Hamiltonian for mechanical systems and derive and solve Hamilton’s equation of motion for simple mechanical systems.

Formulate the problem of small amplitude oscillation and solve them to obtain normal modes of oscillation and their frequencies in simple mechanical systems.