For the beam shown below, the distributed load value is $w=25\frac{N}{m},$ the concentrated force is $F=385N,$ and the moment at point $D$ is $M=120N.m.$ The answers are all sign sensitive$.$ Determine the reactions:

$C_y=$ One possible correct answer $is$: $320N$

Determine the moment equations in terms of $x$ for portion $AB$ and $BC$ of the beam

ABM$(x)=$ One possible correct answer $is$:

$(-\frac{25}{2}{)}^{**}{x}^2+{177\mathrm{.}5}^{**}x$

Determine the shear and moments values $($local max$/$min$)$ and fill them into boxes shown on the shear and moment diagrams below. Also specify the location of zero moment.