$3\mathrm{.}2$ A $15$ m long beam which is simply supported by two supports is loaded as shown in the figure below. The weight of the beam can be ignored.

$3\mathrm{.}2\mathrm{.}1$ Draw a scale diagram of the beam using a scale of $1cm=1m.$

$(2)$

$3\mathrm{.}2\mathrm{.}2$ Calculate the reactions at the supports A & B $.$