# OCR A Level: Mechanics 2 - Centre Of Mass [June 2006 Q5]

Classical Mechanics Level pending

A uniform lamina $$ABCDE$$ consists of a square and an isosceles triangle. The square has sides of $$18 \text{cm}$$ and $$BC = CD = 15 \text{cm}$$ (see diagram).

$$(\text{i})$$ Taking $$x$$- and $$y$$-axes along $$AE$$ and $$AB$$ respectively, find the coordinates of the centre of mass of the lamina.

$$(\text{ii})$$ The lamina is freely suspended from $$B$$. Calculate the acute angle that $$BD$$ makes with the vertical.

Input the angle in degrees, to three significant figures, as your answer.

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