# centroid of area

# 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.

# 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?

# 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.

# 718 Square and Triangles | Centroid of Composite Area

**Problem 718**

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

# 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?

# 709 Centroid of the area bounded by one arc of sine curve and the x-axis

**Problem 709**

Locate the centroid of the area bounded by the x-axis and the sine curve $y = a \sin \dfrac{\pi x}{L}$ from x = 0 to x = L.