A triangular access hatch must be

designed to be placed on the side of a

formwork containing liquid concrete.

a$)$ Show that the geometric center $($yc

$)$ is equal to $2/3$a

b$)$ Find an expression for the force

resulting

c$)$ Show that the moment of inertia relative to

x $($Ixx$)$ is equal to ba$^3$

$36$

d$)$ Find an expression for the location

of the resultant force