716 Semicircular Arc and Lines | Centroid of Composite Figure Jhun Vert Sun, 04/19/2020 - 11:13 pm

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

 

Solution 716

240 How to locate the centroid of metal plate with circular hole Jhun Vert Sat, 04/18/2020 - 05:03 pm

Problem 240
The shaded area in Fig P-240 represents a steel plate of uniform thickness. A hole of 4-in. diameter has been cut in the plate. Locate the center of gravity the plate. Hint: The weight of the plate is equivalent to the weight of the original plate minus the weight of material cut away.
 

Rectangular plate with circular hole