# centroid of line

## 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.

## 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.

## Centroids and Centers of Gravity

## Centroids of Composite Figures

$W \, \bar{x} = \Sigma wx$

$W \, \bar{y} = \Sigma wy$

$A \, \bar{x} = \Sigma ax$

$A \, \bar{y} = \Sigma ay$

$L \, \bar{x} = \Sigma lx$

$L \, \bar{y} = \Sigma ly$

## Center of Gravity of Bodies and Centroids of Volumes

$W \, \bar{x} = \Sigma wx$

$W \, \bar{y} = \Sigma wy$

$W \, \bar{z} = \Sigma wz$

$V \, \bar{x} = \Sigma vx$

$V \, \bar{y} = \Sigma vy$

$V \, \bar{z} = \Sigma vz$

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