A uniform flat circular rim is balanced on a sharp vertical nail by supporting it at a point $A$ , as shown in the below figure. Mark the position of the centre of gravity of the rim in the diagram by the letter G.

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Solution

The position of the centre of gravity can be predicted by finding the intersection point of two diameters of the rim.
As the diameters intersect at the centre of the rim, we can deduce that the centre of gravity of the rim lies at its centre.

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