Problem $6.$ The water pressure acting on a masonry dam varies as

shown. If the dam is $20$ ft wide, determine the following:

a$)$ Equivalent point load of triangular load

b$)$ Equivalent point load of trapezoidal load

c$)$ Resultant force of the water pressure acting on the dam

d$)$ Direction of resultant force from horizontal

e$)$ Distance of resultant force along $x-$axis from point $O$

f$)$ Distance of resultant force along $y-$axis from point $0$

g$)$ Perpendicular distance of resultant force from point $0$

h$)$ Specific coordinates $(x,y)$ of perpendicular distance of resultant

force from point $0$