Problem:

A glass chamber is divided into two sections using a glass wall. On the glass wall a rectangular

gate is installed that acts as an overflow safety mechanism and opens itself when water level

reaches a certain height in the first chamber, allowing excess water to be released in the second

chamber. The figure below depicts the setup.

Questions: $($Show all steps and calculations$)$

i$.$ Find hydrostatic pressure acting on the rectangular gate

ii$.$ Find the corresponding hydrostatic force.

iii. Find the locate of the center of pressure for hydrostatic force.

iv$.$ Draw schematic depicting the force acting on the center of pressure that is determined in

the previous part.

Figure $1$: $($a$)$ Schematic of the glass container and $($b$)$ dimensions of the rectangular gate