Analytical Mechanics

  • Force and Motion, Newton’s Second Law, Conservation Laws, Central Force
  • Constrained motion, D’Alembert principle
  • Displacement real, possible and virtual
  • Configuration space, D’Alembert principle of a system in configuration space
  • Lagrange’s equations of the first kind
  • Lagrange’s equations of the second kind
  • Invariants of Lagrange equations, Cyclic coordinates
  • Functions and functionals, The action principle
  • Phase space, Hamilton’s equations
  • Integrals of motion, Poisson’s brackets, Poisson-Jacobi Theorem

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