Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A uniform frame is formed by a semicircular arc $ABC$ with radius $0.6\,\text{m}$ and its diameter $AOC$, where $O$ is the centre of the semicircle (see diagram).
(i)[4]

Calculate the distance of the frame’s centre of mass from $O$.

(ii)[2]

The frame is freely suspended from $A$ and comes to rest in equilibrium. Calculate the angle between $AC$ and the vertical.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses the arc centre relation $OG(\text{arc})=0.6\sin(\pi/2)/(\pi/2)

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