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.

There are 7 marks available for part (i) and 2 marks for part (ii).
In total, this question is worth 12.5% of all available marks in the paper.

This is part of the set OCR A Level Problems.

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