Two very important laws from Hydrostatic

Hi,
Understanding hydro-statics  can be easy if you understand the basic laws. The following two laws are very important to understand the further concepts in this study of static fluid:
(1) Pascal's Law
(2) Archimedes Principle

(1) Pascal's Law:
This law states that the magnitude of pressure in a fluid is same/constant in all direction at an area, when area tends to zero.
This law is used in the hydraulic jack, which can lift up heavy automobiles. When small force is applies on a small area, can be transformed to larger force using this principle.
 Force on a vertical immersed slit of area A, whose center of gravity is at a height of Hg can be calculated numerically as below.
  F = d. Hg. A
   where d is the density of the fluid.
This pressure force acts at the center of pressure on the body, which is located at a distance, as given numerically below
  H p = Ig/ A.Hg  + Hg
where,
Ig = moment of Inertia of the body about its center of gravity.
From the above equation it can be stated that the center of pressure is always below the center of gravity and it co-incides with it when the depth i.e. Hg tends to infinity.
         
(2) Archimedes Principle:
This law states that when a body is immersed in a liquid, partially or fully, it loses its weight equal to the weight of the liquid displaced by the body. This weight is lost due to the upward force applied by the fluid through the center of buoyancy.
Center of buoyancy is the point same as the center of the gravity of the displaced liquid.
This principle is very very important to manufacture/design the ships.

Thanks.