The discussion revolves around determining the point of application for vertical forces on submerged surfaces, particularly in the context of fluid mechanics. Participants explore how to find these points for surfaces such as flat inclines and quarter circles, focusing on the relationship between force components and the geometry of the surfaces involved.
While there is some agreement on the use of centroids to determine the point of application for vertical forces, the discussion includes varying interpretations and approaches, particularly regarding the specifics of applying these concepts to different surface geometries. No consensus is reached on a definitive method applicable to all scenarios.
The discussion does not fully resolve the assumptions regarding the application of centroid calculations to different surface shapes, nor does it clarify the implications of using only the x-component for vertical forces.
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.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?
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.
Precisely.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.