composite area

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.
 

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

 

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.
 

Semicircle surmounted on top of a right triangle

 

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?
 

Inverted T-section for centroid problem

 

 
 
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