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Determine the distance from the straight wire to the centre of mass of the frame.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A frame is made from a uniform semicircular wire with 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 semicircular wire’s ends are fixed to the two ends of the straight wire (see diagram).
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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Locating the centre of mass of the arc with $\bar{x} = \dfrac{20\sin(\pi/2)}{(\pi/2)}$” …
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