(Solved): A \( 3 \mathrm{~m} \) diameter roller gate retains water on both sides of a spillway crest as show ...

A \( 3 \mathrm{~m} \) diameter roller gate retains water on both sides of a spillway crest as shown on the figure. a) Draw the horizontal and vertical pressure variations and the forces acting to the gate. b) Determine the magnitude, direction and location of the resultant hydrostatic thrust acting on the gate per unit length c) the gate can freely move on a vertical slider up and down. What must be the minimum weight of the gate of \( 10 \mathrm{~m} \) long to stand still.