J 3

Describe in words how you would expect the system to evolve in time for various initial conditions of the system when y = 0 and y = 1 with reference to both the Lagrangian you derived in part (b) and the approximate Lagrangian derived in part (c). You may wish to solve the equations of motion for an illustrative set of initial conditions.Describe in words how you would expect the system to evolve in time for various initial conditions of the system when y = 0 and y = 1 with reference to both the Lagrangian you derived in part (b) and the approximate Lagrangian derived in part (c). You may wish to solve the equations of motion for an illustrative set of initial conditions.A system described by the generalised coordinates (a, b, c) has kinetic energy T = a (a + 62 + (asina + bsinb)?) + Be? (1) and potential energy U = y (cos(a) + cos(b)) (2) where o, B and y are constants