Hamiltonian and forces! Help!

Hi I have a problem which I have to solve.

I have a wire which is suspended in two points like the figure below:

http://img12.imageshack.us/img12/5660/59905008.png

The figure denotes the value of the costate vector in origin.

http://img39.imageshack.us/img39/5752/proj209page3.png

I have plottet the variation of the hamiltonian as a function of s, where s is the distance along the wire. The wire has the length 7. What can I expect to see?

The hamiltonian (as I have understood) is the energy of the system right?

I have the following plot for the hamiltonian:

http://img696.imageshack.us/img696/6078/27767978.png

Can anybody help me understand what I see? Does it look like I'm on the right track?

The second question is that I have to determine the necessary forces in the vertical direction needed for supporting the wire in the two suspension points. work = force * displacement.. hmmm.. help...