3.20✶✶ 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.
3.20✶✶ 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.
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Transcribed Image Text:3.20✶✶ 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.
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