A rigid angled gate is designed to open a drain

when a particular water level, $h,$ is achieved. The

gate configuration is shown in the figure.

a$.(20$ points$)$ Neglecting the weight of the

gate itself, at what water level, $h,$ will the

gate begin to open? $($Note: I highly

recommend defining a variable $($y$\_$h$)$ which

is the distance along the side of the gate that is submerged in water, which you can relate to h and

theta. Use this variable throughout your calculations, until the last step where you can relate that

to h and the angle before calculating h$.)$

b$.(5$ points$)$ Will the water spill over the top edge of the gate before it opens?