A. Dynamics of Particles:
Space and time, Euclidean Space and Tensors, Kinematics and Newton’s Laws of a Particle, Motion of a System of Particles, The Pendulum Problem, Motion in a Central Force Field, Dynamics of a Particle in a Moving Reference Frame, System of Variable Masses
B. Dynamics of Rigid Bodies:
Conservation of Mass, Euler’s Postulates and Balance Laws of Linear and Angular Momentum, Kinematics of Rigid Bodies and Finite Rotation, Moment of Inertia and Kinetics for Rigid Bodies, Sticking, Sliding and Rolling of Rigid Bodies, Gyroscopic Motion, Collisions of Rigid Bodies, Vehicle Dynamics
C. Principles of Mechanics:
Principle of Virtual Work, D’Alembert’s Principle, Lagrangian Equations for Holonomic and Non-Holonomic Systems, Stability, Small Oscillations, Appell-Kane Method, Spinning Top, Dumbbell Satellite Motion.
D. Hamiltonian Dynamics:
Hamilton’s Principle, Legendre Transformation, Hamiltonian Equations and Conservation Laws. Canonical Transformation, Hamilton-Jacobi equation