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A rectangle \( 50 \) mm by \( 150 \) mm has its second moment of area taken about its base rather than its centroid. The value becomes

  • A.1.13e8 mm^4
  • B.5.63e7 mm^4
  • C.1.41e7 mm^4
  • D.2.81e7 mm^4

Answer: B

Either use \( bh^3/3 = 50 \times 3.375 \times 10^6/3 = 5.63 \times 10^7 \), or add the transfer term to the centroidal value: \( 1.406 \times 10^7 + 7500 \times 75^2 = 1.406 \times 10^7 + 4.22 \times 10^7 \). Both routes agree, which is a useful check on the parallel axis theorem.

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