A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments' centroids.An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.05 ft , where a is the diameter of the semi-circle,b = 3.74 ft , and c = 2.45 ft . A hole with diameter d = 0.700 ft is centered at (0.925,0.525) . Part A Find the area of the body. (Figure 1) Express your answer numerically in feet squared to three significant figures. Part B Find x¯ , the x -coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures. Part C Find y¯ , the y -coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures.
A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments' centroids.An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.05 ft , where a is the diameter of the semi-circle,b = 3.74 ft , and c = 2.45 ft . A hole with diameter d = 0.700 ft is centered at (0.925,0.525) .
Part A Find the area of the body. (Figure 1) Express your answer numerically in feet squared to three significant figures.
Part B Find x¯ , the x -coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures.
Part C Find y¯ , the y -coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures.
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