Center of Mass Calculator
Calculate the center of mass for point masses and uniform shapes
Quick examples:
Quick examples:
#1
#2
Visualization
2.4 m
X coordinate
0 m
Y coordinate
5 kg
Total Mass
Position: (2.4, 0) m
Formula
x_cm = Σ(m_i × x_i) / Σm_i
y_cm = Σ(m_i × y_i) / Σm_i
About Center of Mass
The center of mass is the weighted average position of all mass in a system. It's the point where the entire mass of an object can be considered to be concentrated.
- For point masses, the center of mass is calculated using the weighted average of each mass's position.
- For uniform shapes with constant density, the center of mass coincides with the geometric center (centroid).
- The center of mass is the balance point - if you support an object at this point, it will be perfectly balanced.
- Understanding center of mass is crucial in physics, engineering, robotics, and sports biomechanics.
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