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Conservation of energy of three spring system.

  1. Apr 9, 2010 #1
    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 [tex]E=K+U_{spring}+U_{gravity}[/tex]
    Datum taken at point A, [tex]U_{gravity}=-mgx[/tex]
    Where [tex]K[/tex] is kinetic energy and [tex]k[/tex] is the spring stiffness and [tex]l_0[/tex] is the natural length.

    3. The attempt at a solution
    By analysing the diagam

    My question is, is the answer [tex]E=K+U_{gravity}+U_{springA}+U_{springB}+U_{springC}[/tex] and have I derived the individual energies correctly?
    Last edited: Jun 23, 2010
  2. jcsd
  3. Apr 16, 2010 #2
    Any ideas anyone?
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