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Lecture6 Hydrostatic Force on curved Surfaces

Hydrostatic Force on a curved SurfacesHenryk Kudela1 Hydrostatic Force on a curved SurfaceOn a curved surface the forcesp Aon individual elements differ in direction, so a simplesummation of them may not be made. Instead, the resultant forces in certain directionsmay be determined, and these forces may then be combined vectorially. It is simplest tocalculate horizontal and vertical components of the total component of Hydrostatic forceAny curved surface may be projected on to a vertical plane. Take, for example, the curvedsurface illustrated in Fig. 1: Hydrostatic Force on a curved surfaceIts projection on to the vertical plane shown is representedby the trace AC.

as the buoyancy. This buoyancy force can be computed using the same principles used to compute hydrostatic forces on surfaces. The results are the two laws of buoyancy discovered by Archimedes in the third century B.C.: 1. a body immersed in a fluid experiences a vertical buoyant force equal to the weight of the fluid it displaces.

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