A uniform beam $AB$ has length $2{\text{ }}m$ and weight $70{\text{ }}N$. The beam is hinged at $A$ to a fixed point on a vertical wall, and is held in equilibrium by a light inextensible rope. One end of the rope is attached to the wall at a point $1.7{\text{ }}m$ vertically above the hinge. The other end of the rope is attached to the beam at a point $0.8{\text{ }}m$ from $A$. The rope is at right angles to $AB$. The beam carries a load of weight $220{\text{ }}N$ at $B$ (see diagram).
a) Find the tension in the rope.
b) Find the direction of the force exerted on the beam at $A$.

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