(i)[3]
Show that the centre of mass of the object is $0.191\,\text{m}$ from the line $ACB$, correct to $3$ significant figures.
(ii)[4]
Determine the angle between $ACB$ and the vertical.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A uniform wire is bent into a shape consisting of a semicircular arc with diameter $AB$ and length $1.2\,\text{m}$, together with a smaller semicircular arc with diameter $BC$ and length $0.6\,\text{m}$. The point $C$, at the end of the smaller arc, lies at the centre of the larger arc (see diagram). Both semicircular arcs lie in the same plane.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Gives the centre of mass of the large or small semicircle, e.g. $\text{CoM}_{\text{large}} = 0.6/\pi$” …
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