Let D be the domain in Figure 22.Assume that D is symmetric with respect to the y-axis;

Chapter 15, Problem 59

(choose chapter or problem)

Let D be the domain in Figure 22.Assume that D is symmetric with respect to the y-axis; that is, both g1(x) and g2(x) are even functions. (a) Prove that the centroid lies on the y-axisthat is, that x = 0. (b) Show that if the mass density satisfies (x, y) = (x, y), then My = 0 and xCM = 0. y = g2 (x) y = g1(x) x

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