For the beam and loading shown, where $M_0=120N-m,L=14m$ and $EI=1000N-m^2,$ determine:

$($a$)$ the reaction at the roller support,

$($b$)$ the deflection at $x=0\mathrm{.}5L$ from point $A($upward is positive$).$

$RA=$

$N$

$y(x=0\mathrm{.}5L)=$

$m$