Center-of-mass of three balls
Three balls have masses and positions as follows:
- Ball 1: m1 = 1.2 kg, x1 = 0.4 m, y1 = 0.7 m.
- Ball 2: m2 = 2.1 kg, x2 = -0.4 m, y2 = 0.7 m.
- Ball 3: m3 = 1.7 kg, x3 = 0.1 m, y3 = 0.2 m.
The center-of-mass of this system is given by:
| Xcom |
= |
| x1m1 + x2m2 + x3m3
|  |
| m1 + m2 + m3
|
|
| Xcom |
= |
| 0.4 * 1.2 + (-0.4) * 2.1 + 0.1 * 1.7
| |
| 1.2 + 2.1 + 1.7
|
|
Xcom = -0.038 m
| Ycom |
= |
| y1m1 + y2m2 + y3m3
| |
| m1 + m2 + m3
|
|
| Ycom |
= |
| 0.7 * 1.2 + 0.7 * 2.1 + 0.2 * 1.7
| |
| 1.2 + 2.1 + 1.7
|
|
Ycom = 0.53 m