CIVL$3180$S$24-$ Homework $2$

Due $1$ February $2024$ at $9$:$10$ AM

A hinged gate used as a retainer for water. The water depth to the horizontal portion of the gate is $2ft,$ and the gate itself is to be designed so that the water depth does not exceed $5ft.$ When the depth is greater than $5ft,$ the fluid forces may act to open the gate, and some water then escapes through it$.$ This is only prevented if the moment about the hinge is equal to $0$ or has a CCW $($counter clockwise$)$ moment greater than $0.$ The gate is $6ft$ wide $($into the page$).$ If the angle $$ is equal to $25$ degrees, calculate the magnitude and direction of the moment about the hinge. $($HINT: There is an upward force on the horizontal part of the gate that is equal to the upward pressure times the area.$)$