Question

Find center of mass of hollow cylinder​

Answer 1

Answer:

If the cylinder is of uniform density, then it’s at the geometric center - at the center of the circle and halfway between the ends.

This is obvious for a cylinder (once you’ve played with this stuff a little), but you can actually work out the center of mass for any body by a general process. Imagine you have an arbitrary body with a non-uniform density. Let D(x,y,z) be the density as a function of the three coordinates. Then you just do a triple integral, with each integral running over all values necessary to pick up the non-zero density contributions: