(i)[4]
Calculate the distance of the centre of mass of the frame from $O$.
(ii)[2]
The frame is suspended freely at $A$ and settles in equilibrium. Calculate the angle between $AC$ and the vertical.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The uniform frame is formed from a semicircular arc $ABC$ of radius $0.6\,\text{m}$ and its diameter $AOC$, with $O$ at the centre of the semicircle (see diagram).
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct expression for arc length centroid position $OG(\text{arc}) = 0.6\sin(\pi/2)/(\pi/2)” …
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