An aircraft has a mass of 5000 lbs and the CG is located at 80 inches aft of the datum.The aft CG limit is at 80.5 inches aft of the datum.What is the maximum mass that can be loaded into a hold situated 150 inches aft of the datum without exceeding the limit?
The CG is currently in limits but needs to move aft to the aft limit. This distance is 80 in to 80.5 in = 0.5 in
In order to move the CG on to the aft limit, we will need to load the mass into a hold at +150 in.
Step 1. Establish the parameters:
m = mass to be added (?)
M = total mass (5000 lb)
d = CG movement required (0.5)
D = relevant distance, between the target CG position and the hold being loaded (distance between +150 and +80.5 = 69.5)
Step 2. Time for the formula:
m/M = d/D
m/5000 = 0.5/69.5
m = 35.97 lb
By adding 35.97 lb into the rear hold, the CG is moved back on to the aft limit.
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