Figure: Concrete Gravity Dam

Problem $3$:

a$.$ Consider a summer mode of dam operation where a gate is include $($Hgate and the gate weight no longer zero$).$ Would it be better to have the gate located at the front $($headwater size$)$ or back $($tailwater$)$ side of the top of the dam? Assume a H$\_$gate $=10ft$ and the gate weighs $100l\frac{b}{f}t.$ Explain your answer, but no calculations are needed.

b$.$ Propose changes to increase the sliding and overturning safety factors of your dam. Suggest changes that are as few, small, and simple as possible to increase the safety factors. Explain your answers qualitatively, but no calculations are necessary for this part.