The Triangle Jhun Vert Sun, 04/26/2020 - 03:53 pm

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.
 

triangle.jpg

 

726 Area enclosed by parabola and straigh line | Centroid of Composite Area Jhun Vert Sun, 04/19/2020 - 11:44 pm

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.
 

Centroid of parabolic segment minus triangle

 

724 Rectangle, semicircle, quarter-circle, and triangle | Centroid of Composite Area Jhun Vert Sun, 04/19/2020 - 11:36 pm

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

Centroid of rectangle less semicircle less quarter-circle less triangle

 

723 Rectangle, quarter circle and triangle | Centroid of Composite Area Jhun Vert Sun, 04/19/2020 - 11:34 pm

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

Rectangle minus quarter circle minus triangle

 

722 Semicircle and quarter circle | Centroid of composite area Jhun Vert Sun, 04/19/2020 - 11:31 pm

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.
 

Centroid of quarter circle minus semicircle

 

720 Two triangles | Centroid of Composite Area Jhun Vert Sun, 04/19/2020 - 11:24 pm

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 Jhun Vert Sun, 04/19/2020 - 11:20 pm

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

 

717 Symmetrical Arcs and a Line | Centroid of Composite Line Jhun Vert Sun, 04/19/2020 - 11:15 pm

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