Statics and Dynamics Quiz
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A uniform thin plate has a composite area consisting of a full circle of radius RR centered at the origin, plus a rectangle of width 2R2R and height RR attached directly below the circle so that the rectangle's top edge is tangent to the bottom of the circle (top edge at y=−Ry = -R, rectangle extends from y=−Ry = -R to y=−2Ry = -2R, centered on the y-axis). The centroid of this composite shape is located at yˉ\bar{y} below the center of the circle. Which expression gives the correct yˉ\bar{y} (negative, measured downward from the circle's center)?
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