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Oscillation physics problem

  1. Feb 28, 2013 #1
    1. The problem statement, all variables and given/known data

    A physical pendulum is created from a uniform disk
    of radius 12.0 cm. A very small hole (which does not
    affect the uniformity of the disk) is drilled a distance d
    from the center of the disk, and the disk is allowed to
    oscillate about a nail through this hole. If the period of
    oscillation is 1.00 s, find d

    For the physical pendulum in Problem 6, find the
    value of d that results in the shortest possible period of
    oscillation, and find the corresponding period

    2. Relevant equations

    ωT = 2pi

    ω = sqrt(mgd / I for phys pendelum)

    3. The attempt at a solution

    The first question involves using a quadratic which I've completely solved to be 3.35cm. The second part I know somehow utilizes derivative but I have no idea how.
  2. jcsd
  3. Feb 28, 2013 #2
    Re: oscillation

    You need to find the equation that expresses the period as a function of d.

    Then you need to minimize the function. Depending on the equation you obtain, you may or may not have to use calculus for that.
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