Center of mass or center of gravity is a specific point in a system in reference to a mass. The center of mass of a rigid object is a fixed point in relationship to the mass.
Center of Mass for Two Masses calculator
A system at a specific time, on the same axis, having two masses.
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Center of Mass for two masses formula
| \(\large{ x_{cm} = \frac {m_1\; x_1 \;+\; m_2 \; x_2 } {m_1 \;+\; m_2} }\) |
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Where:
| Units |
English |
Metric |
| \(\large{ x_{cm} }\) = center of mass |
\(\large{ ft }\) |
\(\large{m}\) |
| \(\large{ m_1 }\) = mass 1 |
\(\large{ lbm }\) |
\(\large{ kg }\) |
| \(\large{ m_2 }\) = mass 2 |
\(\large{ lbm }\) |
\(\large{ kg }\) |
| \(\large{ x_1 }\) = position 1 |
\(\large{ ft }\) |
\(\large{m}\) |
| \(\large{ x_2 }\) = position 2 |
\(\large{ ft }\) |
\(\large{m}\) |
Center of Mass Multiple Masses formula
A system at a specific time, on the same axis, having multiple masses.
| \(\large{ x_{cm} = \frac {m_1 \; x_1 \;+\; m_2 \; x_2 \;+\; \cdots } { m_1 \;+\; m_2 \;+\; \cdots } }\) |
|
Where:
| Units |
English |
Metric |
| \(\large{ x_{cm} }\) = center of mass |
\(\large{ ft }\) |
\(\large{m}\) |
| \(\large{ m_1 }\) = mass 1 |
\(\large{ lbm }\) |
\(\large{ kg }\) |
| \(\large{ m_2 }\) = mass 2 |
\(\large{ lbm }\) |
\(\large{ kg }\) |
| \(\large{ x_1 }\) = position 1 |
\(\large{ ft }\) |
\(\large{m}\) |
| \(\large{ x_2 }\) = position 2 |
\(\large{ ft }\) |
\(\large{m}\) |
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