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Frequency of oscillation

  1. Aug 30, 2012 #1
    In this problem I guess I would first need to model the position of the cylinder with an equation and from that solve for the natural frequency. But how do I go about doing this when the object's default position is stationary?


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  2. jcsd
  3. Aug 30, 2012 #2

    gabbagabbahey

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    What is the force on the cylinder when it is displaced from its equilibrium position by a distance [itex]y[/itex] (up or down)?
     
  4. Aug 30, 2012 #3
    It is equal to the weight of the water displaced I believe.
    But how can I form an equation of motion from this?
     
  5. Aug 30, 2012 #4

    gabbagabbahey

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    There are two forces acting on the cylinder at any given time:

    (1) The downward force of gravity

    (2) The buoyancy force (pressure) exerted by the water

    Find a mathematical expression for the net force on the cylinder when it is displaced from equilibrium by a distance [itex]y[/itex]

    Newton's 2nd Law maybe?:wink:
     
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