Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The diagram represents a uniform object $ABC$ with weight $3\,\text{N}$, shaped as an arc of a circle with centre $O$ and radius $0.7\,\text{m}$. The angle $AOC$ is $2$ radians. The object is in equilibrium with $A$ resting on a horizontal surface and $C$ positioned vertically above $A$. This equilibrium is kept by a horizontal force of magnitude $F\,\text{N}$ acting at $C$ in the plane of the object.
(main)[4]

Calculate the value of $F$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Evaluate the distance $OG$ from $OG = 0.7\sin1$

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