Find the centroid of the region bounded by the following curves

Centroid : (___, ___)

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- Dec 7th 2006, 06:40 PMvietCentroid
Find the centroid of the region bounded by the following curves

Centroid : (___, ___) - Dec 7th 2006, 08:34 PMThePerfectHacker
I will assume it is a homogenous density.

In that case fist find the mass.

In this case simply the area.

To express the region we need the intersection points between the line and parabola.

The upper curve is,

and lower is .

Thus,

Thus,

.

Now we find the first moments.

Thus,

Thus,

Thus,

- Dec 7th 2006, 09:41 PMputnam120
the y coordinate is given by

.

and the x coordinate is given by

is the area of the region between the two graphs and are the points where they intersect. - Dec 7th 2006, 09:46 PMviet
i got it thanks