The discussion revolves around a hydrostatic equilibrium problem involving a cube submerged in two different liquids. Participants are exploring the principles of buoyancy and pressure forces acting on the cube, as well as the implications of the problem's setup on the calculations involved.
The discussion is ongoing, with participants sharing their attempts and seeking clarification on specific terms and calculations. Some have noted peculiar results in their findings, prompting further inquiry into the problem's parameters and assumptions.
There is a mention of homework guidelines that require participants to show their work, and some participants express concerns about the clarity of submitted images. The problem is noted to be from the Ibero-American Physics Olympiad 2017, which adds a layer of complexity due to the lack of provided solutions.
I will try to do it by integrating too. I realized now that I really made a simple mistake and the resultant force is what you found. But now I am a little bit confused, the total force does not depend of 𝜌2 . Isnt that weird ? What should the answer for 𝜌2 be ?Chestermiller said:
Yes, it certainly sounds counterintuitive, but can't be argued with (since two completely different methods give exactly the same answer).ViktorVask said:
I just did the another solution. I will attach here. Got the same as you again.Chestermiller said:
Taking it further, if we consider starting with only the denser fluid and gradually add the lighter one, the buoyant force increases but with a negative quadratic term. It reaches a max when the fluid is half way up the face of the cube, then declines to its original value in the diagram position.TSny said:
