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Determine the mass that must be moved aft by a distance of 2.8 m, in order to establish a CG at 2.8 m aft of the datum, given:

Current CG position: 2.7 m
aft of the datum Actual Take-Off Mass: 6 630 kg

  • A

    877 kg

  • B
    663 kg
  • C
    237 kg
  • D
    1 kg

The new centre of gravity position can be calculated using the following formula:

  • M x ΔD = m x Δd
    Where “M” stands for the total mass of the aircraft, “ΔD” is the distance between the previous and new CG, “m” is the moved mass and “Δd” stands for the distance between the old and new position of the moved mass.

In this case, the total mass of the aircraft ("M") is 6 630 kg. The distance between the previous and new CG ("ΔD" equals 2.8 m - 2.7 m = 0.1 m; and the mass must be moved aft (Δd) by a distance of 2.8 m. Thus:

6 630 kg x 0.1 = m x 2.8
m = 663 / 2.8
m = 237 kg

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