CE Board Exam Randomizer

Centroids

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.

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.

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

Problem 8:

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

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Problem 9:

The homogeneous 1200-N plate is suspended from three cables as shown.
a. Compute the tension of the cable at A. (119.60N)
b. Compute the tension of the cable at B. (648N)

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