An infinitely long cylindrical container has a cross section area of radius R, and is placed horizontally with gravity being in the −y direction, as shown in the figure. The cylinder is 50% filled with water (the shaded part), with density ρ. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = p0. The length of the cylindrical container in the axial direction is W. b) Use the surface integral method to compute the hydrostatic force acted on the 4th quadrant of the cylinder wall, as shown by the thickened line in the figure.

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.