Classical Mechanics (Kibble & Berkshire) · Problem 14.3

The general theory of small oscillations — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · hamiltonian-projectile

Problem

Projectile Using Cartesian coordinates, find the Hamiltonian for a projectile of mass

m

moving under uniform gravity. Obtain Hamilton's equations and identify any cyclic coordinates.