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Mechanical Engineering QUESTION #2532
Question 1
The equation of motion for the center of mass G of a rigid body system of total mass \(m\) acted on by external forces is:
  • \(\sum\mathbf{F}_{ext} = m\,\mathbf{a}_G\)✔️
  • \(\sum\mathbf{F}_{ext} = I_G\,\boldsymbol{\alpha}\)
  • \(\sum\mathbf{F}_{ext} = \mathbf{H}_G\)
  • \(\sum\mathbf{F}_{ext} = m\,\boldsymbol{\omega}\times\mathbf{v}_G\)
Correct Answer Explanation
Newton's law for the center of mass: \(\sum\mathbf{F}_{ext}=m\mathbf{a}_G\), regardless of internal forces.