031 - Mass Balance ATPL(A) (EASA 2020) | ATPL Exam Question Bank

15 / 20

An aircraft has a total mass of 1 508 kg with a CG of 3.68 m aft of the datum line. Before departure, the ground crew discovers that they overlooked loading some additional cargo onto the aircraft, at 4.82 m aft of datum. To ensure the aircraft stays within the aft CG limit of 3.79 m, what is the maximum weight, in kilograms, of extra cargo that can be safely loaded?

A
161 kg
B
146 kg
C
44 kg
D
82 kg

The CG is currently in limits but will move aft with the extra cargo added. The CG can be moved the distance from it's current position (3.68) to the aft limit (3.79) = 0.11 m.

Step 1. Establish the parameters:

m = mass to be added (?)

M = total mass (1508 kg before extra mass is added)

d = CG movement 3.79 – 3.68 = 0.11 m

D = relevant distance, between the target CG position and the position being loaded 4.82 - 3.79 = 1.03 m

Step 2. Time for the formula:

m/M = d/D

m/1508 = 0.11/1.03

m = 161 kg

By adding 161 kg at position 4.82 m, the CG is moved as far as possible to it's aft limit.

Your Notes (not visible to others)

This question has appeared on the real examination, you can find the related countries below.