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9231 P33 - Jun 2022 - Q1 - 4 marks
6954

A uniform lamina \(O A B C\) is a trapezium whose vertices can be represented by coordinates in the \(x-y\) plane. The coordinates of the vertices are \(O(0,0), A(15,0), B(9,4)\) and \(C(3,4)\).

Find the \(x\)-coordinate of the centre of mass of the lamina.

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