A uniform lamina is made from a square of side 2a joined to a semicircle of radius

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A uniform lamina is made from a square of side 2a joined to a semicircle of radius 2a. This semicircle is then joined to another semicircle of radius 2a, which is in turn joined to a smaller semicircle of radius a, as shown in the diagram. Find the centre of mass from the edges AB and AC. 

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