Question $3(4$ marks$)$: The tension in the rope at $B$ is $700$ N to maintain equilibrium. Assume all values given in the diagram are known to two significant digits.

a$)$ Draw a free body diagram and calculate the mass of the beam from $A$ to $B.(2\mathrm{.}5$ marks$)$

b$)$ Calculate the $x-$and $y-$components of the pivot force at point $A.(1\mathrm{.}5$ marks$)$