Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The diagram depicts a uniform lamina $ABCD$ with $AB = 0.75\,\text{m}$, $AD = 0.6\,\text{m}$ and $BC = 0.9\,\text{m}$. Angle $BAD = \angle ABC = 90^\circ$.
(i)[5]

Show that the centre of mass of the lamina is $0.38\,\text{m}$ from $AB$, and find its distance from $BC$.

(ii)[2]

The lamina is suspended freely from $B$ and is in equilibrium. Find the angle between $BC$ and the vertical.

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