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Centroids

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Problem 1:

Find the centroid of the area bounded by the curves: 2y=x3, x=2, and y=0

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Problem 2:

Find the centroid of the area bounded by the curves: y=4x-x2 and y=x.

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Problem 3:

Locate the centroid from the given reference x and y axes.

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Problem 4:

Locate the centroid from the given reference x and y axes.

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Problem 5:

Locate the centroid from the given reference x and y axes.

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Problem 6:

Locate the centroid from the given reference x and y axes.

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Problem 7:

Locate the centroid from the given reference x and y axes.

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At first glance, we could identify three shapes in this problem. Two rectangles and one triangle. However, a technique we can use here is the subtraction of hollow areas. Notice that this shape could be interpreted as one large rectangle minus a hollow triangle at the top right portion.

Solution

In our solution, we consider the total area, AT, as the area of the whole rectangle less the hollow triangle.

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Problem 8:

Locate the centroid from the given reference x and y axes.

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