The dam in Fig. $2$ is a quarter$-$circle with width $B$ into the paper.

$($a$)$ Determine the vertical component of the hydrostatic force $(F_1)$ that the dam exerts on the fluid and its location with respect to point $O.$

$($b$)$ Determine the horizontal component of the hydrostatic force $(F_2)$ that the dam exerts on the fluid and its location with respect to point $O.$

$($c$)$ Calculate the angle between $F_H$ and $F_V.$

$($d$)$ Determine the point CP $($center of pressure$)$ with respect to point $O.$