# 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?

gabbagabbahey
Homework Helper
Gold Member
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
Homework Helper
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?