Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

ABCD is a uniform lamina with $AB = 1.8\,\text{m}$, $AD = DC = 0.9\,\text{m}$, and $AD$ is perpendicular to both $AB$ and $DC$ (see diagram).
(i)[4]

Determine the distance of the lamina’s centre of mass from $AB$ and the distance from $AD$.

(ii)[2]

The lamina is freely suspended at $A$ and comes to rest in equilibrium. Calculate the angle between $AB$ and the vertical.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies the balance of moments or table-of-values method to form $2m \times 0.45 + m \times 0.3 = 3mv$

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