$(10$ pts$.)$ The rectangular gate shown in figure rotates about an axis through $N.$ If $a=3\mathrm{.}3ft,b=1\mathrm{.}3ft,d=2ft,$ and the width perpendicular to the plane of the figure is $3ft,$ what torque $($applied to the shaft through N$)$ is required to hold the gate closed? $($Answer: $4240ft-1b)[$Will be covered in next class$]$

Please use equations $$F$=(\backslash$gamma h$$c$)$a$$ and $$y$$cp$=$h$$c$+($I$\backslash$h$$c$*$a$)$ to solve the problem.