Chapter 5.4, Problem 72P

The steel cylinder with a cylindrical hole is connected to the copper cone. Find the center of gravity of the assembly. The weight densities of steel and copper are 489lb/ft3 and 556lb/ft3, respectively.

Using the method of composite areas, find the centroid of the truncated parabolic complement.

3.94 The aluminum cylinder is attached to the steel hemisphere. Find the height h of the cylinder for which the center of gravity of the assembly is at G. Use =0.283lb/in.3 for steel and =0.096lb/in.3 for aluminum.

Use integration to locate the centroid of the shaded region in terms of R and t. (b) Show that when t0 the result of part (a) agrees with that given in Table 8.2 for a quarter circular arc.

Use integration to locate the centroid of the volume of the hemisphere. Compare your results with Table 8.3.

By integration, find the centroid of the surface of the hemisphere. Compare your result With Table 8.4.

Compute the volume of the spherical cap that is formed when the circular segment is revolved about the y-axis.

Locate the center of gravity of the hammer if the mass of the steel head is 0.919 kg, and the mass of the hardwood handle is 0.0990 kg.