If the drop is cut in half the force imposed by surface tension on the half which is remaining will be 2πRS. Now consider a spherical surface, specifically the spherical drop. Note that it makes no difference whether the liquid is on the outside or on the inside. Thus the surface tension causes greater pressure inside the surface and the difference is the surface tension divided by the radius of curvature (so that a flat surface yields no pressure difference). Opposing this will be the surface tension components that are known to force S acting on the two ends of the section of surface which yield a force from the core, equal to 2 sin dθS. By the result described in static forces the net force in the outward direction due to forces near and at a fluid surface, pO and pI will be 2R sin dθ(pI − pO). Consider all the forces in the direction normal to the center of the fluid element.
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