1. ## Engineering Centroid Problem

$\displaystyle Centroid = \frac {\int_0^h y\frac {b}{h}(h-y)dy}{\int_0^h \frac {b}{h}(h-y)dy}$

I have the answer which is $\displaystyle \frac {\frac {1}{6}bh^2}{\frac {1}{2}bh}$ which produces $\displaystyle \frac {h}{3}$ as you may know that is a triangle.

However I cant get the same answer, infact I appear to be way off. Can anyone suggest how to integrate this problem? maybe even just the top would be great help.

Thanks to those who can help.

2. what is the probelm ?? both the num and denom are polynomials ... u just have to use the formula mindlessly .. where r u stuck ?

3. on the graph attached the triangles line is $\displaystyle y = \frac {h}{b} (b - x)$ using the standard equation for calculating the y value for the centroid.

4. I am having trouble integrating the formula in terms of y to get the answers. I cant get the same answer I am getting very different values

5. what r u getting ???

6. The centroid of the triangle, or you might know it as the first moment of area.