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Gravitational and elastic energy

  1. Oct 12, 2009 #1
    1. The problem statement, all variables and given/known data

    A spring with spring constant k is hanging from the ceiling, at equilibrium point. The length of the spring in equilibrium is h2. Then you hang a mass less string from the end of the spring, holding a mass m. The length of the string and the mass together equal y.
    The height of the floor to the ceiling is h1

    Using elastic and gravitational energy equations, what is the necessary length of the spring and the mass combined (y), so that when you hang the mass, it just touches the floor? (in other words, solve for y?)

    2. Relevant Equations

    Ee=kx2/2

    Eg=mgh
     
  2. jcsd
  3. Oct 12, 2009 #2

    rl.bhat

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    Homework Helper

    If x is the extension in the spring, then
    h1 = h2 + x + y.
    Substitute the value of x, in the relevant equations and solve for y.
     
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