Unit 1: Revisiting Newton's Laws of Motion
Concepts of inertia, force and momentum, linear and angular momenta, polar and axial vectors in Physics; conservative force fields (gravitational and electrostatic), equipotentials and the concept of gradient. Key theme: Newton?s Laws, connection between fields and potentials
Unit 2: Equilibrium and Oscillations in Physical Systems
Introduction to phase space and phase trajectories; equilibrium and stability, small oscillations, forced and dissipative oscillations, resonance; analogy between electrical and mechanical oscillating systems. Key theme: Departure from equilibrium: oscillations
Unit 3: Motion in a Central Force Field
Central potential and conservation of energy and angular momentum; effective potential, Kepler's laws (planetary motion), satellite orbits. Key theme: Symmetry and conservation laws
Unit 4: The Equation of Continuity
The concepts of flux and divergence of a force field; Gauss' theorem, equation of continuity and its physical meaning; Local description of conservation of mass and charge. Key theme: Physical significance of the equation of continuity and its universality.
Unit 5: Circulation of Vector Fields
Concepts of circulation and curl of a vector field, Stokes' theorem, irrotational vector fields; electrostatic and magnetostatic fields, fluid flow and Bernoulli?s principle; vorticity. Key theme: Concept of circulation in a variety of physical systems.
1. Daniel Kleppner and Robert Kolenkow , An Introduction to Mechanics, TMH, (2007) 2. David Morin, Introduction to Classical Mechanics, with problems and solutions, Cambridge University Press (2008). 3. D. J. Griffiths, Introduction to Electrodynamics, PHI Learning, (2012).
1. J R Taylor, Classical Mechanics, University Science Books (2004). 2. C. Kittel, W. Knight, M. Ruderman et. al., Mechanics (Berkeley Physics Course, Vol. 1) McGraw Hill Education (India) Pvt. Ltd. (2011). 3. E. M. Purcell and J. Morin, Electricity and Magnetism (Berkeley Physics Course, Vol. 2), Cambridge University Press(2013) 4. Feynman R.P., Leighton R.B. and Sands M. (Narosa), The Feynman Lectures of Physics (Vol.1.), Narosa Publishing house (2008)