Why does the area centroid formula for bar y have a factor of 0.5?

[chrisyuen]

Homework Statement

Homework Equations

Nil

The Attempt at a Solution

Why does the bar y have a factor of 0.5 for the forumla of area centroid?

Thank you very much!

 

[keen23]

Am I right that the + is actually an devided by?

$$\bar{y}=\frac{1}{A} \int y\ dx dy = \frac{1}{A} \int 0.5\ y^2\ dx$$

Is that ok?

 

[cepheid]

Those are not plus signs. They are in fact, this symbol here:

$$\div$$​

So you are right.