1. The problem statement, all variables and given/known data A point of mass m is placed on a frictionless plane that is tangent to the Earth’s surface. Determine Hamilton’s equations taking: (a) the distance x (b) the angle q as the generalized coordinate. 2. Relevant equations 3. The attempt at a solution Take the distance x as the distance from the point of contact of the plane with the surface angle q is the angle made with the normal to the plane through the center of the earth my soln. is L= 1/2*m*(x(dot)^2) - m*g*(sqrt(x^2+a^2)-a) (here a is the radius of the earth ) Rest is elementary Is this correct ? Since its a standard problem in many textbooks does anyone know the exact solution ?