$(10$ points$)$ As it is shown in the following figure, a uniform distributed load with intensity $q=1\mathrm{.}5k\frac{N}{m}$ and a concentrated load $F=4kN$ are acting at cantilever beam.

$($a$)$ Find reactions $($force and moment$)$ at supports A$.$

$($b$)$ Draw the shear force diagram.

$($c$)$ Draw the bending moment diagram.