## 721 Increasing the width of flange to lower the centroid of inverted T-beam

**Problem 721**

Refer again to Fig. P-714. To what value should the 6-in. width of the flange be changed so that the centroid of the area is 2.5 in. above the base?

The Triangle

**Definition of a Triangle**

Triangle is a closed figure bounded by three straight lines called sides. It can also be defined as polygon of three sides.

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726 Area enclosed by parabola and straigh line | Centroid of Composite Area

**Problem 726**

Locate the centroid of the shaded area enclosed by the curve y^{2} = ax and the straight line shown in Fig. P-726. Hint: Observe that the curve y^{2} = ax relative to the y-axis is of the form y = kx^{2} with respect to the x-axis.

724 Rectangle, semicircle, quarter-circle, and triangle | Centroid of Composite Area

**Problem 724**

Find the coordinates of the centroid of the shaded area shown in Fig. P-724.

723 Rectangle, quarter circle and triangle | Centroid of Composite Area

**Problem 723**

Locate the centroid of the shaded area in Fig. P-723.

722 Semicircle and quarter circle | Centroid of composite area

**Problem 722**

Locate the centroid of the shaded area in Fig. P-722 created by cutting a semicircle of diameter r from a quarter circle of radius r.

**Problem 721**

Refer again to Fig. P-714. To what value should the 6-in. width of the flange be changed so that the centroid of the area is 2.5 in. above the base?

720 Two triangles | Centroid of Composite Area

**Problem 720**

The centroid of the sahded area in Fig. P-720 is required to lie on the y-axis. Determine the distance b that will fulfill this requirement.

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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.

**Problem 718**

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

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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.