Open Educational Resources

Problems: Chapter 9

1- Find the centroid of the area with respect to the origin of the Cartesian coordinate system shown.

ANSWER

    \[\bar x =2.50\text{ m}, \quad \bar y =2.23\text{ m}\]

2- Find the centroid of the area with respect to the origin of the Cartesian coordinate system shown.

ANSWER

    \[\bar x =0.150\text{ m}, \quad \bar y =0.675\text{ m}\]

3- Find the centroid of the area with respect to the origin of the Cartesian coordinate system shown.

ANSWER

    \[\bar x =0.500\text{ m}, \quad \bar y =0.460\text{ m}\]

4- Find the centroid of the area with respect to the origin of the Cartesian coordinate system shown.

ANSWER

    \[\bar x =0.402\text{ m}, \quad \bar y =1.121\text{ m}\]

5- Find the centroid of the area with respect to the origin of the Cartesian coordinate system shown.

ANSWER

    \[\bar x =0.047\text{ m}, \quad \bar y =0.027\text{ m}\]

6- Find the centroid of the area with respect to the origin of the Cartesian coordinate system shown.

ANSWER

    \[\bar x =0.225\text{ m}, \quad \bar y =0.605\text{ m}\]

7- Find the centroid of the area with respect to the origin of the Cartesian coordinate system shown.

ANSWER

    \[\bar x =0.394\text{ m}, \quad \bar y =0.380\text{ m}\]