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A uniform frame consists of a semicircular arc \(A B C\) of radius 0.6 m together with its diameter \(A O C\), where \(O\) is the centre of the semicircle (see diagram).
- Calculate the distance of the centre of mass of the frame from \(O\).
The frame is freely suspended at \(A\) and hangs in equilibrium.
- Calculate the angle between \(A C\) and the vertical.