Aparticle of mass m is confined to a plane and attracted to a force centre with force of magnitude k/r". use plane polar coordinates (r, 0) (a) find hamilton's equations of motion [10 marks (7] in terms of r (and constants). you do (b) find an expression (a differential equation) for 0 not need to solve the differential equation [1] (c) find an expression (a differential equation) for f as a function of r (and constants). you do not need to solve the differential equation