# composite figures

## 719 Closed Straight Lines | Centroid of Composite Lines

**Problem 719**

Determine the centroid of the lines that form the boundary of the shaded area in Fig. P-718.

## 718 Square and Triangles | Centroid of Composite Area

**Problem 718**

Locate the centroid of the shaded area shown in Fig. P-718.

## 717 Symmetrical Arcs and a Line | Centroid of Composite Line

**Problem 717**

Locate the centroid of the bent wire shown in Fig. P-717. The wire is homogeneous and of uniform cross-section.

## 716 Semicircular Arc and Lines | Centroid of Composite Figure

**Problem 716**

A slender homogeneous wire of uniform cross section is bent into the shape shown in Fig. P-716. Determine the coordinates of the centroid.

## 715 Semicircle and Triangle | Centroid of Composite Figure

**Problem 715**

Determine the coordinates of the centroid of the area shown in Fig. P-715 with respect to the given axes.

## 714 Inverted T-section | Centroid of Composite Figure

**Problem 714**

The dimensions of the T-section of a cast-iron beam are shown in Fig. P-714. How far is the centroid of the area above the base?

## 240 How to locate the centroid of metal plate with circular hole

**Problem 240**

The shaded area in Fig P-240 represents a steel plate of uniform thickness. A hole of 4-in. diameter has been cut in the plate. Locate the center of gravity the plate. *Hint:* The weight of the plate is equivalent to the weight of the original plate minus the weight of material cut away. Represent the original plate weight of plate by a downward force acting at the center of the 10 × 14 in. rectangle. Represent the weight of the material cut away by an upward force acting at the center of the circle. Locate the position of the resultant of these two forces with respect to the left edge and bottom of the plate.