Consider a system comprising two extended bodies, which have masses M and M and centers of...

  

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Consider a system comprising two extended bodies, which have masses M₁ and M₂ and centers of mass at R₁ and R₂. Prove that the CM of the whole system is at R = M₁R₁ + M₂R₂ M₁ + M₂ This beautiful result means that in finding the CM of a complicated system, you can treat its component parts just like point masses positioned at their separate centers of mass-even when the component parts are themselves extended bodies. Consider a system comprising two extended bodies, which have masses M₁ and M₂ and centers of mass at R₁ and R₂. Prove that the CM of the whole system is at R = M₁R₁ + M₂R₂ M₁ + M₂ This beautiful result means that in finding the CM of a complicated system, you can treat its component parts just like point masses positioned at their separate centers of mass-even when the component parts are themselves extended bodies.