If you hang an object from a string, its center of mass will be under the string at rest position. In this demo, you can see this principle in action. As before, choose a density function ρ(x, y, z), two constants for the bounds of x, two functions for the bounds of y in terms of x, and two functions for the bounds of z in terms of x and y. You can then change x₀ to see what happens when you attach the string at different points on the upper boundary of the object.