Mass places o that it is in equilibrium

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    Equilibrium Mass
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To achieve equilibrium for the third mass, 3M, placed in the system, the forces exerted by the fixed masses M and 2M must balance out. The equation M(3) + 2M(-1) + 3M(x) = 0 is proposed to find the position x where the third mass can be placed. Attempts to use the center of mass equation have led to incorrect results, indicating a potential misunderstanding of equilibrium conditions. Further clarification on the problem statement may be necessary to address any missing components. Understanding the balance of forces is crucial for solving this equilibrium problem effectively.
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Homework Statement



A mass,M, is fixed at a position of 3m. Another mass, 2M, is fixed at the position -1m. What position(s) can a third mass, 3M, be placed so that it is in equilibrium.

Homework Equations



The only thing I could think of is M(3)+2M(-1)+3Mx=0

The Attempt at a Solution



I tried the center of mass equation and got the same wrong answer.
 
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So that what is in equilibrium? I believe you are missing part of the question.
 

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