Topics

NEWTONIAN MECHANICS FOR A SINGLE PARTICLE
Newtonian mechanics for a system of particles
D’Alembert’s principle
Constraints
Derivation of Lagrange eq.
Application of langrage Eq.
Hamilton’s principle
Application of Lagrange equation solved example Motion under central force
Derivation of Lagrange principle from Hamilton’s principle
Reduction of body central force
Collision in center of mass and laboratory
Legendre transformation
Hamiltonian equation from Legendre transformation
Hamilton equation FROM Hamilton principle
Conservation laws
Canonical transformations
The Base Academy