Problem 3. (25 points total) Determine (a) The area A of the shaded region. (b) The x location of the centroid of the shaded area, which is called x. (Use an integral to confirm the value found by inspection from symmetry.) (C) The y location of the centroid of the shaded area, which is called y. (d) The moment of inertia, Ix, of the shaded area about the x axis. (e) The moment of inertia, ly, of the shaded area about the y axis. (1) The centroidal moment of inertia, Tx, about the centroidal axis x’ (g) The centroidal moment of inertia, Ty, about the centroidal axis y’
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