How much additional weight can be added at Station 120 without exceeding the aft CG limit for an aircraft weighing 9,500 lb with a CG location at Station 90.0 and an aft CG limit at Station 90.5?

How much additional weight can be added at Station 120 without exceeding the aft CG limit for an aircraft weighing 9,500 lb with a CG location at Station 90.0 and an aft CG limit at Station 90.5?

• A. 100.0 pounds
• B. 161.0 pounds
• C. 200.0 pounds
• D. 250.0 pounds

Answer: (B)

To determine how much additional weight can be added at Station 120 without exceeding the aft center of gravity (CG) limit, it's important to understand how the position of weight affects the aircraft's overall balance. In this case, the aircraft weighs 9,500 lb and has a current CG at Station 90.0, with the aft CG limit at Station 90.5.

The aircraft's CG can be calculated in terms of its moment about the datum, which is often expressed in terms of pounds per inch. The moment is calculated as weight times the distance from the datum. Given that the CG is currently at Station 90.0, you can first compute the current moment of the aircraft.

The total moment for the current configuration is 9,500 lb * 90.0 = 855,000 lb-in.

To figure out how much additional weight can be added at Station 120, you need to calculate the new CG moment if weight is added at that station. If the additional weight is denoted as W, it will contribute to the moment as follows:

Total new moment = current moment + (weight added * distance from datum)

This allows us to set the new CG to 90.5 or less (the aft