Introduction, Configuration space, Equations of Motion, Velocity
... space is then represented as a graph: (q i = q i (t), q̇ i = q̇ i (t)). The idea here is that many physical quantities of interest are functions on the EVPS. Exercise: Show that the energy and angular momentum of a Newtonian particle moving in a (possibly time-dependent) potential are functions on t ...
... space is then represented as a graph: (q i = q i (t), q̇ i = q̇ i (t)). The idea here is that many physical quantities of interest are functions on the EVPS. Exercise: Show that the energy and angular momentum of a Newtonian particle moving in a (possibly time-dependent) potential are functions on t ...