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
71. 185
Classical Mechanics
91 Hamiltonian and Hamilton’s equations of motion, Hamiltonian of a dynamical system
92 Hamilton’s Principle, Hamilton’s principle of least action
93 Homogeneity
94 Inertial and non-inertial frames, Motion in Non-inertial Systems
95 Isotropy
96 Kepler laws, Kepler’s law as an inverse square law problem
97 Kinematics
98 Lagrange equations, Lagrange equations of motion, Lagrange’s multiplier method
99 Lagrangian formulation in generalized coordinates, Lagrangian Mechanics
100 Legendre’s transformation, Legendre transformations and its applications
101 Principle of Least Action
102 Liouville’s theorem
146. 260
Classical Mechanics
106 Newton’s laws, momentum, impulse of a force
107 Noether’s Theorem
108 Orthogonal transformations
109 Poisson brackets and their properties, Invariance of Poisson’s 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
