1 Attachment(s)

Center of mass of a solid

Hi,

I'm confused on how to calculate the center of mass of a solid that's located out of one sphere and into another. The problem goes on like this:

**Determine the center of mass of a solid located out of a sphere, of radius 1, centered at the origin, and inside a sphere, of radius 1, centered at point .**

All I get from my textbook is the mass formula:

And then if the center of mass is actually the same thing as a center of inertia, I would have to calculate the moments related to each plan of coordinates.

How can I do that when I've got two spheres one above the other. I believe their equations are respectively:

and

As plotted below.

Can you please give me a hint? I'm blocked there.

Thanks a lot,

Bazinga