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Document type:
- Unit-A Vectors, Summation Convention Preliminaries: Kronecker delta and Levi-Civita symbol; Einstein summation convention; 123 notation for vector components. Dot and cross products of two vectors and vector identities.
- Unit-B Group of Rotations in Three Dimensions Newton's Laws; Inertial and non-inertial frames; Galilean transformations; Rotation of coordinate axes; The rotation group \(O(3)\)..
- Unit-C Motion in Accelerated Frames Frames with constant acceleration; EOM in Rotating frames; Centrfugal force; Coriolis force; Examples
- Unit-D General Properties of Motion in One Dimension Transformation of momentum, kinetic energy, angular momentum under Galilean transformations; Separation of center of mass in dynamical variables.
- Unit-E Kinematics of Rigid Body Motion Angular velocity of a rigid body; Moment of Inertia tensor; Kinetic energy and Angular Momentum of rigid body; Euler's equations of motion in rotating frames;Examples of rigid body motion.
- Unit-G Rigid Body Dynamics-I Limitations of Newtonian Mechanics; Euler Lagrange equation of motion; Energy conservation; Canonical Momentum and Hamiltonian; Cyclic coordinates; Solution by quadratures;
- Unit-H Action Principle (New Uploaded on 30-11-2019)Hamilton's Action Principle; Noether's theorem and conservation laws; Symmetries and conservation laws; Hamilton's equations; Poisson bracket form of equations of motion.
- Unit-I Rigid Body Dynamics-II ( Moved from Unit H 30-11-2019)Lagrangian for a rigid body with one point fixed; Motion of a heavy symmetrical top (Analytical approach);Qualitative discussion using graphical analysis;Sleeping top.
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