How Do You Calculate Tension in Wires Hanging a Composite Shaped Plate?

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beatboxbo
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Hey, I'm wondering if anyone could possibly explain to me how to find the tension forces present in a problem consisting of: A composite shaped plate, being hung by two wires. First the problem asks to determine the center of gravity/centroid of the shape, then to determine the Tension forces in the wires hanging the shape. I know how to find the center of gravity just fine. The only other given information in the problem is the mass per unit area of the shape. Any help would be great, thanks.
 
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Have you tried treating this as a standard static equilibrium problem where the sum of all the forces and torques is zero?