Notes Cannonical transformation Transformation: A given system can be described by more than one set of generalized coordinates. We can choose a set which is most convenient for the solution of the problem ...

Notes Lagrangian and Hamiltonian formulation for continuous system and fields. Many of the systems can be described as continuous system in the sense that various properties are continuous functions of the coordinates. For example, the mass of the system may ...

Notes Physical Significance of Hamiltonian Like Lagrangian, H also posses the dimensions of energy but in all circumstances it is not equal to the total energy E. Restriction for this equality, i.e., E= H are:...

Notes Conservation of energy (Jacobi's integral) Consider a system of particles in a conservation force field and that the constraints do not change with time. Then,Total energy of the conservation system is constant. Thus Lagrangian ...

Notes Hamilton's variational principle and derivation of Lagrange's equation. Hamilton's principle for a conservative system is stated as follows:This note is taken from Classical mechanics, MSC physics, Nepal.

Notes Hamiltonian for a particle in a central force field and obtaining equation of motion of the particle In a central force field, force is always directed towards the centre. Potential energy is conservative so that Hamiltonian represents the total energy.As the motion is always confined in ...

Notes Hamilton-Jacobi Theory Canonical transformations may be used to provide a general procedure for solving mechanical problems. Two methods have been suggested. If the Hamilton is conserved, the solution could be obtained by …

Notes Superposition theorem In any linear network having linear impedances and power generators, the current through any impedances is the sum of the current due to the individuals sources/generators.Here fig 2 and ...