Center of Mass (Two Objects)

x_{c m} = \frac{m _{1} x _{1} + m _{2} x _{2}}{m _{1} + m _{2}}

The center of mass is the mass-weighted average position of a system.

Variables

x_cm

Center of mass position

Position of center of mass

m₁

Mass 1

First object mass

x₁

Position 1

Position of first object

m₂

Mass 2

Second object mass

x₂

Position 2

Position of second object

For a system of particles: x_cm = Σ(m_i × x_i) / Σm_i. For two objects, this simplifies to the weighted average.

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