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Four items weigh \( 12, 15, 8 \) and \( 4 \) t at arms of \( 20, 24, 22 \) and \( 23 \) m. The centre of gravity is nearest to

  • A.22.3 m
  • B.22.0 m
  • C.21.7 m
  • D.24.0 m

Answer: A

The moments total \( 240 + 360 + 176 + 92 = 868 \) t m and the weights \( 39 \) t, so the centre of gravity is \( 868/39 = 22.26 \) m from the datum. The datum's own position does not matter provided it is used consistently.

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