This is an introductory course to Analytical mechanics. In this course I will cover the formulations of Lagrangian dynamics and Hamiltonian dynamics. Will derive Lagrange’s equation from the differential principle and integral principle. Will discuss few examples to understand the method.
Syllabus of the course
Constraints, degrees of freedom, generalized co-ordinates, principle of virtual work, D’Alembert’s principle, Lagrange’s equations(no derivation required), Application of Lagrangian (Linear Harmonic oscillator, Planetary motion and Simple Pendulum only), Hamilton’s Canonical equations of motion, Advantages of Hamilton’s method, Applications of Hamilton’s method (Linear Harmonic oscillator and Simple pendulum only).Hamilton’s Principle. Derivation of Lagrange’s equation from Hamilton’s Principle.
Classical Mechanics by J.C. Upadhyaya-Chapter 2 & 3.
Classical Mechanics by G. Aruldhas