Q$3.$ Three loads are applied to a beam as shown. The beam is supported by a roller al $B$ and by a pin at A$.$ Neglecting the weight of the beam,

a$)$ Draw a free body diagram of the beam.

b$)$ Determine the reactions at A and B $,$ in the given units, with $3$ decimals of precision

$F1=23kN,x=0\mathrm{.}9m$

$F2=21kN,Y=0\mathrm{.}3m$

$P=29kN,Z=2\mathrm{.}4m$

$,W=1\mathrm{.}3m$