The free particle, constraints, Dynamical system, Th fundamental equations,Frames of reference, Newton’s laws of motion, Conservation laws, Constraints, generalized coordinates, Virtual work, D’Alembert’s principle, Lagrange’s equations, Quasi coordinates, Maggis equation, Lagrange-Hamel equation, Routhian function, Conservative systems, Liouville's system, Hamilton’s principle, Generalized momenta and phase space, First integrals of motion and cyclic coordinates, Hamilton’s equations of motion, Hamilton’s equations from variational principle, Principle of least action, Canonical transformation, Infinitesimal canonical transformations, The Lagrange and Poisson brackets, Hamilton-Jacobi equation, Hamilton’s characteristic function, Harmonic oscillator in the Hamilton-Jacobi method, Stability of motion, Impulsive motion

The aim of this course is to understand the basics of the dynamics such as analysis of particle dynamics, rigid body application of laws of work-energy and Impulse-momentum in the dynamic analysis, information about the kinetic analysis of rigid bodies in three and above dimensions. The student will learn the Lagrangian and Hamiltonian formalism for the laws of motion, which are generalizations of Newton’s equations of motion and will be capable to apply the formalism of analytical dynamics to actual problems.

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Book Title : Classical Dynamics

Author : Greenwood, D.T

Edition :

Publisher : Dover Publications

Book Title : Classical Mechanics

Author : Aruldhas, G

Edition :

Publisher : PHI Learning

Book Title : Analytical Dynamics Theory and Applications

Author : Mark D. Ardema

Edition : 1st

Publisher : Kluwer Academic / Plenum Publishers New York, Boston, Dordrecht, London, Moscow

Book Title : A Treatise on ANALYTICAL DYNAMICS

Author : L. A. PARS (President of Jesus College, Cambridge)

Edition : 1st

Publisher : Heinemann Educational Books Ltd (LONDON)

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Title : Analytical Dynamics Theory and Applications

Type : Reference Book

View Analytical Dynamics Theory and Applications