Effortlessly find the center of gravity (CG) for a system of multiple objects or bodies using our free online calculator. Ideal for engineers, physicists, and students, this tool simplifies complex calculations, helping you determine the equilibrium point for composite structures, ensuring stability and proper design. Input individual masses and their coordinates to get precise results instantly.
Formula:
The Center of Gravity (Xcg, Ycg, Zcg) for a system of multiple objects is calculated as the weighted average of their individual positions:
- Xcg = (m1x1 + m2x2 + ... + mnxn) / (m1 + m2 + ... + mn)
- Ycg = (m1y1 + m2y2 + ... + mnyn) / (m1 + m2 + ... + mn)
- Zcg = (m1z1 + m2z2 + ... + mnzn) / (m1 + m2 + ... + mn)
Where:
- mi = Mass of the i-th object
- xi, yi, zi = Coordinates of the i-th object's center of gravity
- n = Total number of objects