MECHANICS OF A SYSTEM OF PARTICLES : External and Internal Forces – Centre of Mass - Conservation of Linear
Momentum – Conservation of Angular Momentum – Conservation of Energy – Work-Energy
Theorem - Conservative Forces – Examples – Constraints – Types of Constraints –
Examples – Degrees of Freedom – Generalized Coordinates – Generalized Velocities –
Generalized Momentum.
LAGRANGIAN FORMULATION : Principle of Virtual Work – D’Alembert’s Principle, Lagrange Equation
of Motion for Conservative and Non Conservative Systems - Applications – Simple Pendulum
– Atwood Machine – Hamilton Principle – Deduction of Lagrange Equation of Motion from Hamilton's Principle.
HAMILTONIAN FORMULATION : Phase Space – The Hamiltonian Function H – Hamilton Canonical
Equations of Motion - Physical Significance of H – Deduction of Canonical Equation from a
Variational Principle – Applications – Compound Pendulum
CLASSICAL STATISTICS : Micro and Macro States – The Mu Space and Gamma Space - Fundamental
Postulates of Statistical Mechanics - Ensembles – Different Types –Thermodynamical
Probability – Entropy and Probability - Boltzmann Theorem – Maxwell-Boltzmann Statistics
– Maxwell-Boltzmann Energy Distributive Law – Maxwell-Boltzmann Velocity
Distributive Law.
QUANTUM STATISTICS : Development of Quantum Statistics –
Bose-Einstein and Fermi-Dirac Statistics – Derivation of Planck
Radiation Formula from Bose–Einstein Statistics – Free electrons in
Metal- Fermi Gas – Difference between Classical and Quantum
Statistics
REFERENCE AND TEXT BOOKS:
Brijlal & Subramaniam, Reprint 1998, Heat & Thermodynamics. New
Delhi: S. Chand & Company.
Gupta, Kumar, Sharma.(2005). Classical Mechanics, Meerut: Pragati
Prakashan Publishers.
Gupta,B.D., Satyaprakash. (1991). Classical Mechanics. Meerut: 9th ed.,
Kadernath Ramnath Publishers.
Murray R.Siegal (1981). Theoretical Mechanics. New Delhi: Tata Mcgraw
Hill Publishing Company.
Upadhyaya J.C. (2005). Classical Mechanics, Mumbai : Himalya Publishing
House