The mass of an aircraft is 2000 kg and 400 kg of freight is added to a hold 2 m aft of the present CG position, the movement of the CG is:
Whenever we have to add or subtract a KNOWN amount, we can simply use Mass x Arm = Moments as shown by method 2, as an arguably simpler method for the exam room.
Method 1:
Step 1. Establish the parameters:
m = mass to be added (400 kg)
M = new total mass (2400 kg)
d = CG movement = ?
D = relevant distance, between the original CG position and the hold being loaded (distance of 2 metres)
Step 2. Time for the formula:
m/M = d/D
400/2400 = ?/2
CG movement = 0.33 m
By adding 400 kg into this aft positioned hold, the CG has moved backwards by 0.33 metres.
Method 2: Alternatively, if we assume the datum is on the original CG:
| Mass (kg) | Arm (m) | Moments (kg.m.) | |
| Original | 2000 | 0 | 0 |
| Added | 400 | +2 | +800 |
| New total | 2400 | +0.33 | +800 |
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