Solving Oscillating Buoy Problem - ANU Physics/IPhO Q3

In summary, an oscillating buoy problem is a physics problem that involves a buoy floating on the surface of a body of water and being subjected to periodic waves. To solve this problem, one needs to use the principles of wave motion, simple harmonic motion, Newton's laws of motion, and conservation of energy. Solving this problem is significant as it helps us to understand and predict the behavior of objects in wave motion and has various applications in different fields. Some common challenges in solving this problem include properly setting up equations, considering all relevant forces and factors, and visualizing the motion of the buoy. The oscillating buoy problem is also a common question in the International Physics Olympiad and is considered one of the more challenging questions in the competition.
  • #1
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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!
 
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  • #2
Welcome to PF!
I can't read your attachment, though..
 
  • #3


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!
 

1. What is an oscillating buoy problem?

An oscillating buoy problem is a physics problem that involves a buoy floating on the surface of a body of water. The buoy is subjected to periodic waves, causing it to oscillate up and down. The problem typically involves calculating the buoy's displacement, velocity, and acceleration as a function of time.

2. How do you solve an oscillating buoy problem?

To solve an oscillating buoy problem, you will need to use the principles of wave motion and simple harmonic motion. You will also need to apply Newton's laws of motion and conservation of energy. By setting up equations and solving for the unknown variables, you can determine the behavior of the buoy over time.

3. What is the significance of solving an oscillating buoy problem?

Solving an oscillating buoy problem is significant because it allows us to understand and predict the behavior of objects in wave motion. This is useful in various fields, including oceanography, engineering, and meteorology. It also helps us to better understand the principles of oscillation and how they apply to real-world situations.

4. What are some common challenges in solving an oscillating buoy problem?

Some common challenges in solving an oscillating buoy problem include properly setting up the equations, considering all relevant forces and factors, and understanding the relationships between variables. It can also be challenging to visualize the motion of the buoy and how it changes over time.

5. How is the oscillating buoy problem related to the International Physics Olympiad (IPhO)?

The oscillating buoy problem is a common question in the theoretical portion of the International Physics Olympiad (IPhO). It tests students' understanding of wave motion and simple harmonic motion, as well as their ability to apply mathematical concepts to real-world situations. It is often considered one of the more challenging questions in the competition.

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