Question

A structure supporting sea-water (specific gravity = 1.1) has a circular-gate in its inclined-wall as shown in-the Figure 1. The gate has a diameter of 4 m and hinged at a location, O. Neglecting atmosphere pressure determine the ye, the magnitude of resultant force and yp (in meter and up to three decimal places). Note: Take last 4 digits of your student ID as a distance (m) from the water surface to the CG of the plate(see Figure 1). For example: if your student ID is 220360568, last 4 digit = 0568, X = 568 m.

Fig: 1

Fig: 2

Fig: 3