For the composite area shown in the image below, if the dimensions are a = 38 mm, b=240 mm, c = 276 mm, and b= 124 mm, determine its area moment of inertia Iz (in 106 mm) about the centroidal horizontal x-axis (not shown) that passes through point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point.

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.