1. Aug 30, 2012 #1

   Ry122

   

   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?
   
   
   

    

   Ry122, Aug 30, 2012
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3. Aug 30, 2012 #2

   gabbagabbahey

   

   Homework Helper

   Gold Member

   What is the force on the cylinder when it is displaced from its equilibrium position by a distance [itex]y[/itex] (up or down)?

    

   gabbagabbahey, Aug 30, 2012
4. Aug 30, 2012 #3

   Ry122

   

   It is equal to the weight of the water displaced I believe.
   But how can I form an equation of motion from this?

    

   Ry122, Aug 30, 2012
5. Aug 30, 2012 #4

   gabbagabbahey

   

   Homework Helper

   Gold Member

   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?

    

   gabbagabbahey, Aug 30, 2012

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