centroid

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 y2 = ax and the straight line shown in Fig. P-726. Hint: Observe that the curve y2 = ax relative to the y-axis is of the form y = kx2 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.
 

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?
 

Inverted T-section for centroid problem

 

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.
 

Centroid involving a triangle of unknown base

 

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.
 

Trapezoidal area with isosceles triangle subtracted from the bottom

 

718 Square and Triangles | Centroid of Composite Area

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

Trapezoidal area with isosceles triangle subtracted from the bottom

 

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.
 

A line and two arcs in vertical symmety

 

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.
 

Vertical line, semicircular arc, and 30 deg line

 

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