Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A beam $AB$ is uniform, has length $2\,\text{m}$ and weighs $70\,\text{N}$. It is hinged at $A$ to a fixed point on a vertical wall and stays in equilibrium because of a light inextensible rope. One end of the rope is fixed to the wall at a point $1.7\,\text{m}$ vertically above the hinge. The other end is fastened to the beam at a point $0.8\,\text{m}$ from $A$. The rope is perpendicular to $AB$. A load of weight $220\,\text{N}$ acts at $B$ (see diagram).
(i)[3]

Determine the tension in the rope.

(ii)[4]

Determine the direction of the force exerted on the beam at $A$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Takes moments about $A$: $T\times0.8 = 70\times1\sin\alpha + 220\times2\sin\alpha$

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