Fluid mechanics - Finding force point of application

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To determine the point of application for the vertical force on a submerged surface, such as a flat incline or quarter circle, it acts at the center of gravity of the fluid weight above the surface. For a quarter circle, this point is located at a distance of 4R/3π from the straight edge. The vertical force corresponds to the weight of the fluid contained by the curved surface. The centroid of the area can be used to find this point, focusing on the x-component for vertical forces. This method clarifies the application of vertical forces on various submerged surfaces.
ual8658
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I get how to find vertical and horizontal forces on a submerged surface (vertical = weight of fluid and horizontal = force on vertical projection). I also get how to find the point of application for the horizontal force using a moment balance. But how do you determine the point of application for the vertical force on the surface if that surface is something like a flat incline or a quarter circle?
 
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ual8658 said:
I get how to find vertical and horizontal forces on a submerged surface (vertical = weight of fluid and horizontal = force on vertical projection). I also get how to find the point of application for the horizontal force using a moment balance. But how do you determine the point of application for the vertical force on the surface if that surface is something like a flat incline or a quarter circle?
Since the vertical component of force = weight of the fluid contained by the curved surface . So it will act at the centre of gravity of the corresponding weight. For eg. For a quarter circle it will act at a distance of 4R/3π from straight edge.
Hope it is clear now.
 
HimanshuM2376 said:
Since the vertical component of force = weight of the fluid contained by the curved surface . So it will act at the centre of gravity of the corresponding weight. For eg. For a quarter circle it will act at a distance of 4R/3π from straight edge.
Hope it is clear now.

Oh so just the centroid of an area basically? But only take the x-component of the centroid if its a vertical force.
 
ual8658 said:
Oh so just the centroid of an area basically? But only take the x-component of the centroid if its a vertical force.
Precisely.
 

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