Mechanics Homework 20-1 1041 - Centroid of Area under a Parabola Name_______________ Mr. Haynes Date_______________

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.

$$\bar{x} = \frac{3}{8} a \qquad \bar{y} = \frac{2}{5} b$$