This document provides the steps to calculate the centroid (center of mass) of an area defined by the function y=1/4x^2. It defines the bounds of integration as x1=0 and x2=2. It then calculates the x-coordinate of the centroid (xbar) as 2.667 and the y-coordinate (ybar) as 0.4 by using the standard formulas for centroid of an area with uniform thickness.

1. Computer Programming Skills MathCad Solution by DF Sozinando Student at the
Vaal University of Technology
Determine the centroid (xc , yc ) of the area.
y x( ) 1
1
4
x
m






2
-






m:=
2- 1- 0 1 2
0
0.5
1
y x( )
x
x1 2- m:= x2 2m:=
A
x1
x2
xy x( )



d 2.667 m
2
=:=
xbar
x1
x2
xx y x( )



d
x1
x2
xy x( )



d
0 m=:= ybar
x1
x2
x
1
2
y x( )
2





d
x1
x2
xy x( )



d
0.4 m=:=