E [2006 Exam, Q4 (part, modified)] A particle of unit mass moves on the outside surface z = K (r) of a smooth axisymmetric body, where r measures distance from the axis of symmetry (which is vertical) and z is distance measured upwards along the axis. (a) Starting from Newton's second law, derive the governing equations 1 or {dr 2 p? 94 3 1+ K'(r)?] (a) + 5 +9K(r) = constant, r%0 = h = constant, r where and denote time and azimuthal angle respectively. (b) What is the precise physical meaning of the constant h