Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The frame is formed from a uniform semicircular wire of radius $20\text{ cm}$ and mass $2\text{ kg}$, together with a uniform straight wire of length $40\text{ cm}$ and mass $0.9\text{ kg}$. The two ends of the semicircular wire are joined to the two ends of the straight wire (see diagram).
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Determine how far the centre of mass of the frame lies from the straight wire.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The centre of mass of the arc is given by $\frac{20\sin(\pi/2)}{(\pi/2)}$.

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