The Howe pin$-$jointed truss has a hinge support at A and a roller support at $E.$ It is subject to three $kN$ loads at joints $H,G$ and $F$ and two $2kN$ loads at A and $E$ as shown in the diagram.

$($a$)$ Calculate the support reaction components.

$(2$ marks$)$

$($b$)$ Calculate the magnitude and the sense of the member forces $AH$ and $AB$ using joint resolution. Draw the free body diagrams wherever necessary.

$(5$ marks$)$