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Mechanical Engineering QUESTION #2493
Question 1
In the dynamic equilibrium (D'Alembert) formulation for a rigid body in planar motion, the inertia moment \(M_{in}\) about the center of mass C is:
  • \(M_{in} = I_C\alpha\)
  • \(M_{in} = -I_C\alpha\)✔️
  • \(M_{in} = -m|\mathbf{a}_C|\)
  • \(M_{in} = I_C\omega^2\)
Correct Answer Explanation
The inertia moment is \(M_{in}=-I_C\alpha\), where \(I_C\) is the mass moment of inertia about the center of mass and \(\alpha\) is the angular acceleration.