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Period of a simple pendulum

  1. Dec 6, 2011 #1
    1. The problem statement, all variables and given/known data
    The usual formula for the period T of a simple pendulum of length l is T=2[itex]\pi[/itex][itex]\sqrt{\frac{l}{g}}[/itex] where g is the acceleration due to gravity. Denoting rhe inertial mass of the pendulum bob by m[itex]_{i}[/itex] and its gravitational mass by m[itex]_{g}[/itex], derive an alternative expression for T in terms of these masses, the radius R of the Earth and its mass M[itex]_{g}[/itex].


    2. Relevant equations



    3. The attempt at a solution

    I just replaced g as [itex]\frac{GM_{g} {m_{g}}}{R^{2}m_{i}}[/itex].
    I don't know if this is what the author wants.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Dec 9, 2011 #2

    BruceW

    User Avatar
    Homework Helper

    That looks correct to me.
     
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