# Frequency of oscillation

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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gabbagabbahey
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What is the force on the cylinder when it is displaced from its equilibrium position by a distance $y$ (up or down)?

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

gabbagabbahey
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Gold Member
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 $y$

But how can I form an equation of motion from this?
Newton's 2nd Law maybe?