Answer the following problem with a clear, complete, and detailed solution. Handwritten is required for this activity.

1. Locate the centroid of the given trapezoid. Y 1 60 120 mm 2. Locate the centroids of the T-section shown. 2:0 T3. From the rectangular area shown, a semicircle of radius 4 cm is removed. Locate the centroids of the remaining area. TL hem 4. Determine the moment of inertia of the rectangle shown with respect to the diagonal axis x-n. 1. 5. Determine the polar moment uf Inertia of a circular sector of radius r and central angle I: with respect to Its center 0