Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The diameter $AB$ of a uniform semicircular lamina is $0.8\text{ m}$. The lamina is placed in a vertical plane, with point $B$ touching a rough horizontal surface and $A$ positioned vertically above $B$. A force of magnitude $6\text{ N}$ acting in the plane of the lamina is applied at $A$ at an angle of $20^\circ$ below the horizontal, and this keeps the lamina in equilibrium.
(i)[2]

Find the distance from $AB$ to the centre of mass of the lamina.

(ii)[3]

Calculate the lamina's mass.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $D = \dfrac{2(0.8)\sin(\pi/2)}{3(\pi/2)}$

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