1. Find the equation for conservation of energy in system. System consists of three springs A,B and C with stiffness k, 2k and 0.5k respectively and natural lengths l, 0.5l and 2l respectively.

2. Relevant equations

Equation for conservation of energy http://www.physicsforums.com/latex_i.../2664029-0.png

http://www.physicsforums.com/latex_i.../2664029-1.png

Datum taken at point A, http://www.physicsforums.com/latex_i.../2664029-2.png

http://www.physicsforums.com/latex_i.../2664029-3.png

Where http://www.physicsforums.com/latex_i.../2664029-4.png is kinetic energy and http://www.physicsforums.com/latex_i.../2664029-5.png is the spring stiffness and http://www.physicsforums.com/latex_i.../2664029-6.png is the natural length.

3. The attempt at a solution

By analysing the diagam

http://www.physicsforums.com/latex_i.../2664029-9.png

http://www.physicsforums.com/latex_i...2664029-10.png

http://www.physicsforums.com/latex_i...2664029-11.png

My question is, is the answer http://www.physicsforums.com/latex_i...2664029-12.png and have I derived the individual energies correctly?

Any help would be greatly appreciated, I've been banging my head against this for weeks.

James