Math | M.Sc.S.Y. I Classical Mechanics | Geodesic on a Sphere | Lect. 43 | Dr. S. S. Bellale | DSCL скачать в хорошем качестве

Math | M.Sc.S.Y. I Classical Mechanics | Geodesic on a Sphere | Lect. 43 | Dr. S. S. Bellale | DSCL

#M. Sc. #B. Sc. #SET #NET #CSIR #UPSE #12th #11th #IIT-JAM #IIT-JEE #Mathematics #SidhshwarBellale #SRTMU #DayanandCollegeLatur #BAMU #SPPU #MU #SU #AMU #DU #BHU #KU # Mechanics of System of particles, Generalized co-ordinates, Degree of freedom, Holonomic and Noholonomic system, Scleronomic and Rheonomic system, D’Alembert’s principles and Lagrange’s Equation of Motion, Different forms of Lagrange’s Equation, Generalized Potential, Conservative fields and its Energy Equation, Application of Lagrange’s formulation, Hamilton’s Principle, Hamitton’s canonical Equations, Lagrange’s Equation from Hamilton’s Principle, Extension of Hamilton’s Principle to Non-holonomic systems, Application of Hamilton’s formulation, Cyclic co-ordinates and conservation theorems, Routn’s Procedure, Hamilton’s Equations from variational principle, Principle of least Action, Functional, Linear Functional, Fundamental lemma of calculus of variations, Simple variational problems, The variation of functional, The extremum of functional, Necessary condition for Extreme, Euler Equation, Eulers Equation of several variables, Invariance of Euler Equation, Motivating Problems of calculus of variation, Shortest Distance, Minimum surface of Revolution, Brachistochrone Problem, Isoperimetric Problem, Geodesic, Variational problems in Parametric form, Generalization of Euler Equation, Variational Problems with subsidiary conditions