Find the centroid of the shaded region of the semicircle of radius r in Figure 24. What
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Find the centroid of the shaded region of the semicircle of radius r in Figure 24. What is the centroid when r = 1 and h = 1/2? Use geometry rather than integration to show that the area of the region is r2 sin−1(√1 − h2/r2) − h √r2 − h2).
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From the symmetry of the region it is obvious that the centroid lies a...View the full answer
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