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Mechanical Engineering QUESTION #2539
Question 1
Two forces of equal magnitude \(F=50\) N act in opposite directions with perpendicular separation \(d=0.4\) m forming a couple. Its moment about ANY point in the plane is:
  • \(20\) N¡m — same about every point✔️
  • \(20\) N¡m — only about the midpoint
  • Depends on the chosen reference point
  • Zero since the net force is zero
Correct Answer Explanation
A couple has a moment \(M=F\cdot d=50\times0.4=20\) N¡m. The defining property of a couple is that its moment is identical about every point in space, making the couple a free vector.