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Mechanical Engineering QUESTION #2538
Question 1
The polar moment of area \(J_O\) about point O is related to second moments \(I_x\) and \(I_y\) by:
  • \(J_O = I_x - I_y\)
  • \(J_O = I_x + I_y\)✔️
  • \(J_O = \sqrt{I_x^2 + I_y^2}\)
  • \(J_O = I_x \cdot I_y\)
Correct Answer Explanation
By the perpendicular axis theorem: \(J_O=\int r^2\,dA=\int(x^2+y^2)\,dA=I_x+I_y\). This applies to planar areas.