(adsbygoogle = window.adsbygoogle || []).push({}); 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 ?

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# Homework Help: Hamiltonian for a particle moving on a plane tangent to the surface of the easth

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