1. The problem statement, all variables and given/known data A particle moves on the surface of an inverted cone. The Lagrangian is given by Show that there is a solution of the equations of motion where and take constant values and respectively 2. Relevant equations The equations of motion and are (1) (2) So can be eliminated from equation (1) 3. The attempt at a solution Would I go about this by setting equal to a constant, , and similarly for ?