...converse. 64. If a plane be immersed in a fluid, the pressure perpendicular to its surface is equal to the weight of a column of fluid, whose base is the area of the plane, and altitude the perpendicular depth of its centre of gravity ; the fluid being at rest, and...

...that in the same cycloid the oscillations are isochronousTRINITY COLLEGE. 1820. HYDROSTATICS. into the depth of its centre of gravity below the surface of the fluid. 2. A hollow cone without a bottom stands on a horizontal plane, and water is poured in at the vertex....

...any surface in a direction perpendicular to it, varies as the area of the surface multiplied into the depth of its centre of gravity below the surface of the fluid. 2. A hollow cone without a bottom stands on a horizontal plane, and water is poured in at the vertex....

...any surface in a direction perpendicular to it, varies as the area of the surface multiplied into the depth of its centre of gravity below the surface of the fluid. 2. A hollow cone without a bottom stands on a horizontal plane, and water is poured in at the vertex....

...round S fixed. (Newt. Prop. 58.) 10. Prove that the pressure upon any portion of a vessel filled with a fluid of uniform density is equal to the weight of...its centre of gravity below the surface of the fluid ; and find the whole pressure on the surface of a spherical segment filled with fluid. 11. If a floating...

...Since the pressure on the base of a vessel filled with a given fluid, depends only on its area, and the depth of its centre of gravity below the surface of the fluid, the pressure on the base of the cone BAB' (fig. 61) is equal to the pressure on the base of the cylinder...

...of the cone, be only one third that of the cylinder. The pressure of water in a funnel is only that of a column of fluid whose base is the area of the outlet; on the other hand, make the base «of a cone the bottom of a vessel ot that figure, and the...

...resistance to a given plane, by a fluid acting with a certain velocity perpendicularly to its face, is equal to the weight of a column of fluid, whose base is the plane and height equal to that through which a heavy body must fall to acquire the given velocity :...

...kept at rest by the friction. 92. Prove that the pressure upon any portion of a vessel filled with a fluid of uniform density is equal to the weight of...its centre of gravity below the surface of the fluid ; and find the whole pressure on the surface of a spherical segment filled with fluid. 93. If a floating...

...any surfare, in a direction perpendicular to it, is as Hie ares of the Ktirfoce, multiplied into the depth of its centre of gravity below the surface of the fluid, multiplied into the specific gravity of the fluid ; and is ,". equal to the weight of a cylinder of...