Hydro static forces on curved surfaces

AI Thread Summary
The discussion revolves around the concept of hydrostatic forces on curved surfaces, specifically addressing the term 'missing water' in a solution diagram. It clarifies that, according to Pascal's Law, the hydrostatic pressure on the wetted portion of the arc AB is equivalent to the pressure from a column of liquid at the same depth. The 'missing water' refers to a hypothetical scenario where filling the indicated region with water would equalize the pressure inside and outside the arc AB, resulting in no net pressure acting on it. This understanding is crucial for accurately analyzing hydrostatic forces in fluid mechanics. The explanation emphasizes the importance of considering pressure equilibrium in such problems.
princejan7
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Homework Statement


http://postimg.org/image/4fhu5k9r9/

Can someone explain what is meant by 'missing water' in this solution diagram
The original question diagram had no such water above the gate AB

Homework Equations


The Attempt at a Solution

 
Last edited by a moderator:
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princejan7 said:

Homework Statement


http://postimg.org/image/4fhu5k9r9/

Can someone explain what is meant by 'missing water' in this solution diagram
The original question diagram had no such water above the gate AB

Homework Equations


The Attempt at a Solution


By Pascal's Law, the hydrostatic pressure on the wetted portion of the arc AB at a given depth h from the free surface of the liquid is the same as the pressure exerted by a column of liquid of depth h placed on the outside of the arc.

If the region indicated by 'missing water' on the diagram was filled with water, there would be no net pressure acting on the arc AB, i.e., the pressure outside the arc would be the same as the pressure inside the tank.
 
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