A thin 2-dimensional object with uniform mass density is in the shape of a square and has a mass M. The sides of the square are L. The coordinate system is drawn with the origin at the center of the square. Point masses m₁, m₂, m₃, m₄ are placed at the corners of the square object and the assembly is held in equilibrium by positioning the support S at point (x,y) as shown in the drawing. Find the location of the support.
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