Classical Mechanics Pages 115 271
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This document contains a list of topics related to classical mechanics. There are over 120 topics listed ranging from accelerated translational coordinate systems to virtual work. Some of the major topics included are Newton's laws of motion, Lagrangian and Hamiltonian mechanics, central force problems, rotational motion, and scattering problems.
Classical Mechanics Pages 115 271
- 1. 115 Classical Mechanics 76 Accelerated translational co-ordinate system 77 Angular momentum and central forces 78 Beltrami identity 79 Brachistochrone problem 80 Canonical transformations and their properties 81 Central force problem, Central Force Motion 82 Center of mass co-ordinate system
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- 28. 142 Where the mass is
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- 30. 144 Classical Mechanics 83 Conservation theorems 84 Constraints, Forces of constraints and Lagrange multipliers 85 Cyclic coordinates 86 DAlemberts principle 87 Dynamics in rotating co-ordinate system 88 Eulers equations, second form of Eulers equations, Euler angles 89 Frame of reference 90 Generalized coordinates
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- 71. 185 Classical Mechanics 91 Hamiltonian and Hamiltons equations of motion, Hamiltonian of a dynamical system 92 Hamiltons Principle, Hamiltons principle of least action 93 Homogeneity 94 Inertial and non-inertial frames, Motion in Non-inertial Systems 95 Isotropy 96 Kepler laws, Keplers law as an inverse square law problem 97 Kinematics 98 Lagrange equations, Lagrange equations of motion, Lagranges multiplier method 99 Lagrangian formulation in generalized coordinates, Lagrangian Mechanics 100 Legendres transformation, Legendre transformations and its applications 101 Principle of Least Action 102 Liouvilles theorem
- 72. 186 103 Minimum surface of revolution
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- 96. 210 Classical Mechanics 104 Motion of a torque-free symmetrical top 105 Newtonian mechanics of single particle & system of particles
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- 146. 260 Classical Mechanics 106 Newtons laws, momentum, impulse of a force 107 Noethers Theorem 108 Orthogonal transformations 109 Poisson brackets and their properties, Invariance of Poissons bracket under canonical transformation 110 Reduced mass 111 Rotating coordinate systems, fictitious forces 112 Rotational kinetic energy and angular momentum 113 Routhian function and noncyclic coordinates 114 The Motion of Rigid Bodies 115 Derivation of Rutherford Scattering formula 116 Scattering cross-sections 117 Stability of rotational motion 118 System of particles and conservation theorems for system of particles 119 Time-varying mass system 120 Two body central force problem & its reduction to the equivalent one body problem
- 147. 261 121 Reduction of Two-Body problem 122 Velocity dependent potentials 123 Virtual work
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