Advantages of a Variational Principle Formulation 51, 2.6 Conservation Theorems and Symmetry Properties 54, 2.7 Energy Function and the Conservation of Energy 60., 3 Mf The Central Force Problem 70, 3.1 Reduction to the Equivalent One-Body Problem 70, 3.2 The Equations of Motion and First Integrals 72, 3.3. Contents,, 1 Survey of the Elementary Principles 1,, 11,, Mechanics of a Particle 1,, 1.2 Mechanics of a System of Particles 5, 1.3 Constraints 12, 14 D’Alembert’s Principle and Lagrange’s Equations 16, 15 Velocity-Dependent Potentials and the Dissipation Function 22, 1.6 Simple Applications of the Lagrangian Formulation 24, 2 Variational Principles and Lagrange’s Equations 34, 2.1 Hamilton’s Principle 34, 2.2 Some Techniques of the Caiculus of Variations 36, 2.3 Derivation of Lagrange’s Equations from Hamilton’s Principle 44, 2.4 - Extension of Hamilton’s Principle to Nonholonomic Systems 45, 2.5.
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