A particle of mass m moves along a curve given in the table below At any time t, discuss the following points of the system in detail. i) ii) iv) v) vi) vii) viii) ix) x) xi) xii) Kinetic energy Potential energy RECTANGULAR Generalized coordinates CYLINDRICAL SPHERICAL An appropriate figure Are there any constraints in the system? If yes mention it Degree of freedom Position vector Velocity. Acceleration Lagrangian E. Lagrange's equations of motion Conservation of total energy of the system. CONE z = x + y z = r = /4