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Mechanical Engineering QUESTION #2548
Question 1
The principal axes of a cross-section are axes about which:
  • The moment of inertia is maximum only
  • The product of inertia is zero AND the moments of inertia are extreme (max/min)✔️
  • The polar moment of inertia is minimum
  • All second moments are equal
Correct Answer Explanation
Principal axes are defined by two conditions: (1) \(I_{xy}=0\) (product of inertia vanishes), and (2) the second moments \(I_x\) and \(I_y\) attain their absolute maximum and minimum values, called principal moments of inertia.