Help please -- Problem of hydrostatics force in flat surfaces

AI Thread Summary
The discussion revolves around understanding hydrostatic forces acting on flat surfaces in fluid mechanics. A participant is struggling to determine the pressure at a specific point in a container and is uncertain about the location of the free surface. Another contributor suggests a method to simplify the problem by considering an object with a known volume at the bottom of a fluid tank, emphasizing the need to analyze the net upward force and the contributions from fluid seeping underneath. This approach aims to clarify the relationship between the forces acting on the object and the overall hydrostatic pressure distribution. The conversation highlights the importance of integrating pressure variations and understanding fluid dynamics in solving hydrostatic problems.
Queren Suriano
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Homework Statement



upload_2015-3-26_14-17-21.png

Homework Equations

The Attempt at a Solution


I could know the pressure in point B

upload_2015-3-26_14-18-23.png


If I calculate the heigh of pressure I got:
upload_2015-3-26_14-19-0.png
But I don't know where is my free surface in the container 3, is it down??

I don't know how to keep doing it...
 
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On the face of it, you need to integrate over the sloping surfaces to get the vertical force (because the pressure varies with depth).
Let me suggest a simpler approach.
Consider an object of known volume sitting at the bottom of a tank of fluid of known density and depth. The shape is arbitrary, except that the base is flat and sits squarely on the flat bottom of the tank. The contact surfaces are not perfectly smooth, though, so fluid can readily seep under the object.
What is the net upward force on the object from the fluid?
What is the upward force on the object arising only from the fluid that seeps under the object?
What can you conclude about the downward force on the object only arising from the fluid elsewhere?

Can you see how this would help you figure out the force contribution from each compartment in your problem?
 
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