The rigid gate ABC shown below is placed at the end of a freshwater channel. The gate has

negligible weight and transverse width W $($into the page$).$ The slanted segment of the gate is

pinned to the wall at C$.$ The contact between the end A of the gate and the channel floor is

smooth and frictionless. The mass density of fresh water is rho$\_($w$)$ and the gravitational acceleration

is g$.$ In terms of the given variables, and for the case where theta$=60^($@$),$ determine the minimum

force P required to hold the gate sealed close against the channel floor, and the associated

reactions at C$.$

The correct answers are:

P $=1\mathrm{.}719$gpL$^2$w

Cy $=1\mathrm{.}65($up$)$

Cx $=0\mathrm{.}476($right$)$