A small disc of radius 2cm is cut from a disc of radius 6cm. If the distance their centers is 3.2cm, what is the shift in the center of mass of the disc?

Explanation

To solve the problem of finding the shift in the center of mass when a small disc is cut from a larger disc, we can follow these steps:

### Step 1: Define the Problem
We have a larger disc of radius \( R = 6 \, \text{cm} \) and a smaller disc of radius \( r = 2 \, \text{cm} \). The distance between their centers is \( d = 3.2 \, \text{cm} \). We need to find the shift in the center of mass when the smaller disc is removed from the larger disc.

### Step 2: Set Up the Coordinate System
Assume the center of the larger disc is at the origin (0, 0) of a coordinate system. The center of the smaller disc, which is cut out, will be at the point (3.2, 0) on the x-axis.

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