Problem #$5$

The gate is $4$ m wide.

a$)$ Find the horizontal force $F_H$ applied to the gate.

b$)$ Find the location for this horizontal force.

c$)$ Find the components of the vertical forces applied on the gate.

d$)$ Find the location of these forces $($the vertical forces$).$

e$)$ Find the force required to open the gate $F.$