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An aircraft has a total mass of 7 220 kg with a CG of 4.16 m aft of the datum line. A few minutes before dispatch, an additional load of 170 kg is loaded onto the aircraft. With the aircraft's new CG at 4.31 m, where should the additional load be placed?

  • A

    6.50 m aft of the datum line.

  • B
    6.52 m in front of the datum line.
  • C

    10.68 m aft of the datum line.

  • D
    10.82 m aft of the datum line.

Mass change / New total mass = Change of CG / Distance moved

  • Mass change: 170 kg
  • New total mass: 7 220 kg + 170 kg = 7 390 kg
  • Change of CG: 4.31 – 4.16 = 0.15 m
  • Distance moved: ?

170 kg / 7 390 kg = 0.15 m / Distance moved

Distance moved = (0.15 m x 7 390 kg) / 170 kg

Distance moved = 6.52 m

=> To move the CG aft, we must add the mass (170 kg) further back from the original position. Therefore, 4.16 m + 6.52 m = 10.68 m.

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