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Slution of Cubic by factorization

Picnic_VBU_2023 (Vinoba Bhave University, Hazariabg)

A problem on Lagrange's equation

A Popular problem and solution of Classical Dynamics

Show that the geodesic on a sphere of radian “a” is its great circles.

Canonical Transformation: Problems with solutions

Poisson theorem, Jacobi's identity, and Jacobi Poisson Theorem

Relation between Lagranges and Poisson brackets

invariance of Lagrange's Bracket under canonical transformation

Invariance of Poission Bracket under canonical Transformation

Jacobi Theorem

Hamilton-Jacobi equation

Principle of least Action

Hamilton's principle and Hamilton's canonical equation

Hamilton's Principle and derivation of Lagrange's equation using Hamilton's principle.

Geodesic: Curve of minimum distance

Shortest distance, Minimum Surface, and Branchistochrone Problem

The technique of Calculus of Variations: Euler’s Lagrange’s equation

Poisson Bracket and its Properties

Cyclic coordinate and Routh's equations

Hamilton's Canonical equations of motion

Energy Equation for holonomic conservative dynamical system

Lagrange's equation of motion for holonomic dynamical system ( Lagrange's equation of 2nd kind)

Lagrange's Equation of motion 1st kind