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Frequency of Small Oscillations

  1. Dec 3, 2009 #1
    1. A uniform coin with radius R is pivoted at a point that is a distance d from its center. The coin is free to swing back and forth in the vertical plane defined by the plane of the coin. For what value of d is the frequency of small oscillations largest?



    2. V(x)[tex]\equiv[/tex]potential energy; V(x)[tex]\approx[/tex][tex]\frac{1}{2}[/tex]V"(x[tex]_{o}[/tex])(x-x[tex]_{o}[/tex])[tex]^{2}[/tex] ; omega is equal to the square root of V"(x)/m



    3. I have no idea what to do. My textbook is vague and my notes from lecture are not sufficient. I don't want a solution, just a push in the right direction
     
  2. jcsd
  3. Dec 3, 2009 #2

    kuruman

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    Treat this as a physical pendulum. Begin by finding the moment of inertia about the pivot.
     
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