Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A uniform rod $AB$ has weight $16\,\text{N}$ and is hinged freely at $A$ to a fixed point. A force with magnitude $4\,\text{N}$, acting at right angles to the rod, is applied at $B$ (see diagram). If the rod is in equilibrium,
(i)[2]

Calculate the angle between the rod and the horizontal.

(ii)[4]

find the magnitude and direction of the force exerted on the rod at $A$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies moments around $A$: $16L\cos\theta = 4 \times 2L$

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