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Mechanical Engineering QUESTION #2521
Question 1
D'Alembert's principle converts a dynamics problem into an equivalent statics problem by introducing:
  • A fictitious potential energy
  • An inertial force \(-m\mathbf{a}\) applied to the body so that \(\sum\mathbf{F}-m\mathbf{a}=0\)✔️
  • The work done by the net force
  • The angular momentum about the center of mass
Correct Answer Explanation
D'Alembert's principle: by adding the inertial force \(-m\mathbf{a}\) to the real forces, the equation \(\sum\mathbf{F}=m\mathbf{a}\) becomes \(\sum\mathbf{F}+(-m\mathbf{a})=0\), which has the form of a static equilibrium equation.