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Mechanical Engineering QUESTION #2537
Question 1
For a system in static equilibrium in 3D, the necessary and sufficient conditions are:
  • Three force equations \(\sum F=0\) only
  • One force and one moment equation
  • All six scalar equations: \(\sum F_x=\sum F_y=\sum F_z=0\) and \(\sum M_x=\sum M_y=\sum M_z=0\)✔️
  • Two force equations and one moment equation
Correct Answer Explanation
For complete 3D static equilibrium, both translational (\(\sum\mathbf{F}=0\)) and rotational (\(\sum\mathbf{M}=0\)) equilibrium must be satisfied about every axis, yielding six independent scalar equations.