Mechanics Homework 20-2 1040 - Centroid of Parabolic Spandrel Name_______________

Problem 20-2 Determine the coordinates of the centroid of the parabolic spandrel bounded by the function \(y(x) = b + kx^2\), and the lines \(x =a\) and \(y=b\) in terms of constants a and b.

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\(\bar{x} = \frac{3}{4} a \qquad \bar{y} = \frac{7}{10} b\)