Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

$AOB$ is a uniform lamina shaped as a quadrant of a circle, with centre $O$ and radius $0.6\,\text{m}$ (see diagram).
(i)[3]

Calculate the distance from $A$ to the centre of mass of the lamina.

(ii)[3]

The lamina is freely suspended at $A$ and comes to rest in equilibrium. Determine the angle between the vertical and the side $AO$ of the lamina.

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