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