(i)[4]
Find $h$.
(ii)[3]
The lamina is hung from a vertical string attached at a point $X$ on the side $AD$ of the triangle (see diagram). Since the lamina is in equilibrium with $AD$ horizontal, calculate $XD$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A uniform lamina $ABCD$ is made up of a semicircle $BCD$ with centre $O$ and diameter $0.4\,\text{m}$, together with an isosceles triangle $ABD$ whose base is $BD = 0.4\,\text{m}$ and whose perpendicular height is $h\,\text{m}$. The lamina’s centre of mass is at $O$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies the centre of mass of a semicircle: $x = \frac{4r}{3\pi}$ with $r=0.2$” …
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