ANALYTICAL MECHANICS



The work done by a force during a displacement


Kinetic energy


Power of the force


Central Force - when the force is parallel to r


Mass point in a potential field


Potential energy not dependent implicitly on time - conservative force


Conservation Laws - total linear momentum


Conservation Laws - total angular momentum


Conservation Laws - total mass of a system


Conservation Laws - position of center of mass


Conservation Laws - total external force


Lagrange Function - arbitrary curvilinear coordinates


The Lagrange equation of the second kind


Canonical equations of motion


Hamiltonian Function


Poisson Brackets - two dynamical variables F and G


Euler-Lagrange equations - principle of least action


Hamilton's principle - optical-mechanical analogy of least action


Wave Equation of classical mechanics