Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A uniform semicircular lamina with radius $0.25\,\text{m}$ has diameter $AB$. It is hung freely from a fixed point at $A$ and comes to equilibrium.
(i)[1]

Determine the distance from the diameter $AB$ to the centre of mass of the lamina.

(ii)[2]

Calculate the angle that diameter $AB$ forms with the vertical.

(iii)[3]

Calculate the lamina's weight.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct centre-of-mass position: $OG = 0.106\,\text{m}$” …

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