- #1

astenroo

- 47

- 0

## Homework Statement

A uniform sphere of radius R has a spherical hole of radius r removed. The center of the hole is at a distance d from the center of the original sphere. Locate the CM relative to the center of the sphere.

## Homework Equations

## The Attempt at a Solution

Ok, so, the problem should be considered as two spheres, one with a negative mass (the hole). Due to symmetry the CM should be moved from the center of the original (x,y,z:0,0,0) sphere along one of the axes "backwards" (if hole is on positive x-axis, then CM moves from origin along the x-axis towards negative). My problem is, I'm not sure how to express r in terms of R (d is an irritant here ;)), and where to begin.