Given the following information and assuming NO structural limitations, what mass has to be loaded into the compartment to change the CG position to the AFT limit?
Aircraft mass including load: 4500 kg
Present CG position: 112.0 CG
FWD limit: 100.0 CG
AFT limit: 110.0
Compartment position: 50.0
Old CG: 112
New CG (aft limit): 110
Old mass: 4500 kg
(Including load here means including the original load without the new mass to be added)
Compartment position: 50
New mass x New CG = (Old mass x Old CG) ± (mass x arm)
(4500 + m) x 110 = (4500 x 112) + (50 x m)
495000 + 110 m = 504000 + 50 m
60 m = 9000
Mass = 150 kg
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