Example 2: Determine the centroidal coordinates of the parabola shown below.
Example 2: Determine the centroidal coordinates of the parabola shown below.
Solution: We begin by identifying the differential length and expressing it in terms of dx as
 |
The centroid of the differential length is at x,y from the origin of the
coordinate system. Now, using the integral equations for 
and
we solve for the location of centroid
as
 |
= 2.79 cm |
and
 |
|
= 1.58 cm |