Archimedian Principle and Vibrating Cylindrical Buoy Analysis

[kasse]

Homework Statement

The Archimedian principle stetes that the bouyancy force equals the weight of the water displaced by the body (partly or totally submerged). A cylindrical buoy of diameter 60cm is floating in water tiwh its axis vertical. When dupressed downward in the water and released, it vibrates with period 2 sec. Ehat is its weight?

2. The attempt at a solution

The period is 2*pi/w, so that w=pi. But what then?

 

[matt grime]

Model the system. You know the forces acting in it (a function of displacement) so you have a differential equation to solve.

 

[arildno]

This must be the first time I've seen m g dabbling in physics and diff eqs..
I hope he won't neglect the pure math section.