What Does the Hamiltonian Tell Us About Forces on a Suspended Wire?

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SUMMARY

The discussion focuses on the application of the Hamiltonian in analyzing the forces acting on a suspended wire. The user seeks clarification on the Hamiltonian's representation as the system's energy and how it varies along the wire's length of 7 units. Additionally, the user inquires about calculating the vertical forces required to support the wire at its suspension points, emphasizing the relationship between work, force, and displacement.

PREREQUISITES
  • Understanding of Hamiltonian mechanics
  • Familiarity with the concept of costate vectors
  • Knowledge of forces and work in physics
  • Basic principles of differential calculus
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  • Learn about costate vectors and their applications in physics
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Physics students, mechanical engineers, and researchers interested in the dynamics of suspended structures and the application of Hamiltonian mechanics in real-world scenarios.

hasasl
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How should the Hamiltonian look and what are the necessary forces??

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...
 
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