1. Find the centroid of the following object: A 2x4 rectangle with a half circle of...

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1. Find the centroid of the following object: A 2x4 rectangle with a half circle of radius 2 on the top. answer : (0, -2/3(pie+2) 2.The region is similar to the first problem, but the densities are different now. The density of the rectangle is 1. Find the density of the half-circle, if we know that the center of mass is right on the boundary between the rectangle and the semi- circle 1. Find the centroid of the following object: A 2x4 rectangle with a half circle of radius 2 on the top. answer : (0, -2/3(pie+2) 2.The region is similar to the first problem, but the densities are different now. The density of the rectangle is 1. Find the density of the half-circle, if we know that the center of mass is right on the boundary between the rectangle and the semi- circle