Mechanics Homework 20-2 1040 - Centroid of Parabolic Spandrel Name_______________ Mr. Haynes Date_______________

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.

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