Page 280 - statbility for masters and mates

268 Ship Stability for Masters and Mates
Fig. 30.2
Let w Mass density of the liquid The area of the elementary strip b dx
The depth of the centroid of the strip below the surface is x if the plane of the rectangle is vertical, or x sin y if the plane is inclined at an angle y to the horizontal.
The thrust on the strip wEgEbExEsin yEdx a
The resultant thrust on the lamina wEgEbExEsin yEdx O
wEgEbEa2
2 siny
aEbE 12 EaEsin y w g Area Depth of centroid
g Density