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Center of Mass of a Three-Object System

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Objects with masses mm and 3m3m are located at positions x=0x = 0 and x=dx = d, respectively. A third object with mass 2m2m is to be placed such that the center of mass for the three-object system is at x=dx = d. What is the required position for the third object?

A

x = d/2

B

x = 0.5d

C

x = 1.5d

D

x = 2d

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