Q1. 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. HYPERBOLOID x + y = z = 1 z = r2-1 p = -sec 2 y i) An appropriate figure ii) Are there any constraints in the system? If yes mention it iii) Degree of freedom iv) Position vector v) Velocity. vi) Acceleration vii) Kinetic energy viii) Potential energy ix) Generalized coordinates x) Lagrangian xi) E. Lagrange's equations of motion xii) Conservation of total energy of the system.