Frequency of oscillation

  • Thread starter Ry122
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  • #1
Ry122
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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
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)?
 
  • #3
Ry122
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It is equal to the weight of the water displaced I believe.
But how can I form an equation of motion from this?
 
  • #4
gabbagabbahey
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It is equal to the weight of the water displaced I believe.

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]

But how can I form an equation of motion from this?

Newton's 2nd Law maybe?:wink:
 

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