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Determine the target center of gravity (CG) position.
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Step-by-step solution
6 stepsTo solve this problem, we need to use the principle of moments. When mass is removed, the total moment of the aircraft changes, which in turn shifts the center of gravity (CG).
Determine the target center of gravity (CG) position.
The CG limits are between 18 m and 22 m. The middle of these limits is:
Set up the moment equation.
The initial moment of the aircraft is .
When a mass is removed from position , the new total mass is , and the new CG is .
The moment equation is:Given values:
Substitute the values into the equation.
Expand and simplify the equation.
Isolate the term with .
Add to both sides:
Subtract 2240000 from both sides:
Solve for .
The mass that must be removed is 29 344 kg.
Comparing this to the given options:
A) 8 680 kg.
B) 43 120 kg.
C) 16 529 kg.
D) 29 344 kg.The correct option is D.
The mass that must be removed is:
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