Classical Dynamics by Debasis Das pdf

UNIT - 1        CLASSICAL MECHANICS - I

Generalized co-ordinates and Velocities, (Generalised force, Principle of virtual  work derivation of Lagranges equation of motion from DAlemberts Principles, Lagrangian and its  Application to Simple, Compound and Double Pendulums, Single particle in space, Atwoods Machine, Dumb-bell. Linear harmonic

               

                 

                                               

UNIT - 11      CLASSICAL MECHANICS - II         

                                      

Hamiltons Principle, Calculus of Variation and derivation of Euler- Layanges equation. Langranges equations derived from Hamiltons principles, Hamiltoian and its applications to Shortest distance between two points in a plane, Geodesic problem, minimum surface of revolution, Brachistochrone problem, The equations of motion and first integrals, The equivalent one-dimensional problem and classification of orbits, canonical momenta, Hamiltions equations of motion, Motion of charged particles in external electric and magnetic fields, Applications to central force motion and coupled oscillators.

              

 

     UNIT - III     SPECIAL THEORY OF RELATIVITY - 1  

              

Special theory of Relativity (Postulates of special theory of relativity), Lorentz transformations, Minkowski space, The invariant interval, light cone and world lines, space time diagram, Times-dilation, length contraction and Twin paradox, Variation of mass with velocity mass energy relation.

                  

UNIT - IV      SPECIAL THEORY OF RELATIVITY - II        

            

Four Vectors : Space like, Tune-like and light-like. Four velocity and acceleration, Four momentum and energy-momentum relation. Doppler effects from a four vector perspective, Concept of four- force, Conservation of four momentum, application to two body decay of an unstable particle.

                     

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