Notes Euler's theorem A rigid body is capable of two independent motions: rotation and translation. The position and orientation of such a body in motion can therefore be fully described. Three of these ...
Notes Cannonical transformation Transformation: More than one set of generalized coordinates can be used to describe a given system. We can decide on a set that will make solving the problem at hand ...
Notes Physical Significance of Hamiltonian The Hamiltonian in classical and quantum mechanics is a mathematical object that encodes the total energy of a physical system. It plays a central role in determining the time evolution ...
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.This note is a part of the Physics Repository....
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 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 ...
Notes Exclusive OR gate The exclusive OR gate has a high output only when a odd number of inputs is applied. The logic symbol a truth table is shown below.Applications1. Parity Checker:...
