Mechanics Homework 19-1 705 - Centroid of parabolic segment by integration Name_______________ Mr. Haynes Date_______________

Problem 19-1 Determine the centroid of the shaded area shown in Fig. P-705, which is bounded by the x-axis, the line x = a and the parabola y 2 = kx.

$$A = \frac{2}{3}ab$$, $$\bar{x} = \frac{3}{5}a$$, $$\bar{y} = \frac{3}{8}b$$