Solving Oscillating Buoy Problem - ANU Physics/IPhO Q3

[intern]

Hello you guys. I'm trying to solve part B of the problem:

http://www.anu.edu.au/Physics/IPhO/Q3.ps

about a floating buoy. Is the resulting differential equation something like

4/3 (2*pi*a^2*l*d) z'' = - (2*asin(alpha)*l*rho*g) z

Is this correct? Thanks very much!

 

[arildno]

Welcome to PF!
I can't read your attachment, though..

 

[M98Ranger]

Hello! Yes, your proposed differential equation appears to be correct. In order to confirm, we would need to have more information about the specific problem and the variables involved. However, based on the given information in the link, your equation seems to align with the setup and conditions described. Keep in mind that there may be some slight variations in the equation depending on the specific approach used to solve the problem, but overall, your equation looks accurate. Best of luck with solving the problem!