Deriving the Hamiltonian of a system

[middleearthss]

Homework Statement

Derive the Hamiltonian equation in terms of momentum and position ( p and r) for the given system whose lagrangian is stated as L=ř^2/(2w) - wr^2/2

Homework Equations

L=ř^2/(2w) - wr^2/2 and H=př-L

The Attempt at a Solution

Notice here ř means first derivative of r. As i haven't learned how to write equations i derives a solution whoch looks correct and took a picture. I am hoping you can see if it is correct and point at mistakes. In the work i exchanged r with q.
Here are the links to 2 photos i took[/B]
http://www.photobox.co.uk/my/photo?album_id=3508111407&photo_id=8712540967#8712540967

http://www.photobox.co.uk/my/photo?album_id=3508111407&photo_id=8712541232#8712541232

 

[Alexandre]

It says You cannot access this album

 

[theodoros.mihos]

You need hamiltonian equation, not the Hamiltonian. So start from lagrangian equation of motion.