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Dynamics of a spring contrained string over a pulley.

  1. Jan 18, 2008 #1
    1. The problem statement, all variables and given/known data

    http://img166.imageshack.us/img166/4254/tut5q3ue5.jpg


    2. Relevant equations



    3. The attempt at a solution

    iv had a go at this and I think im getting it right but just looking for a bit of clarification since my lecturer isnt giving out answers, helpfull....

    ive started off by saying that initially the system is stationary and equilibrium so,

    K.X_in = M.G
    X_in = (M.G)/K

    so MGR - K(X_in+X)R=I(alpha) sub in X_in = (M.G)/K

    (MGR) - ((KMGR)/K) - (KXR) = I(alpha) simplify and sub in X=R(theta)

    so,

    K(R^2)(theta) + I(alpha) = 0

    so (omega_N) = R SQRT(K/I)?

    any help would be very very helpful!!
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Jan 19, 2008 #2

    Tom Mattson

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    Gold Member

    Your solution is a bit hard to read. Could you possibly type it up in LaTeX? Here is a tutorial for using LaTeX at PF:

    https://www.physicsforums.com/showthread.php?t=8997

    Also, I don't see where you've used the [itex]h[/itex] anywhere. Are you using a different symbol for that?
     
  4. Jan 19, 2008 #3
    Your calculations are correct.

    @Tom Mattson for the frequency he does not need to consider [tex]h[/tex]
     
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