Mechanics Homework | 20-1 1041 - Centroid of Area under a Parabola | Name_______________ |

**Problem 20-1** Determine the coordinates of the centroid of the parabolic spandrel bounded by the function \(y(x) = b + kx^2\), and the positive \(x\) and \(y\) axes in terms of constants *a* and *b*.