QUESTION 2 (2 1) The length s of any home paning two points P and A on a cylinder is given by (5) where r. & and & are cylindrical coordinates Use the Euler-Lagrange equations to show that the shortest path between A, and Fy is a helix (2.2) A particle of sree na is attached to one end of an inextensible string and swings around a honsontal (7) cylindrical pole, of radius a, so that it winds around it The motion of the particle takes place in a vertand plane (See Figure) Determine the equation of motion of the priticle. [15]