What is the maximum weight that could be added at Station 130.0 without exceeding the aft CG limit if the total weight is 2,900 lb and the CG is at Station 115.0?

What is the maximum weight that could be added at Station 130.0 without exceeding the aft CG limit if the total weight is 2,900 lb and the CG is at Station 115.0?

• A. 150 pounds
• B. 207 pounds
• C. 250 pounds
• D. 300 pounds

Answer: (B)

To determine the maximum weight that can be added at Station 130.0 without exceeding the aft center of gravity (CG) limit, it’s essential to understand how CG changes with the addition of weight.

First, we start with the initial conditions: the total weight is 2,900 lb and the CG is located at Station 115.0. Each station represents a specific point along the aircraft’s longitudinal axis, used to calculate the moment and balance of the aircraft. As weight is added near the aft of the aircraft, the CG moves towards the rear, and we need to calculate how much more weight can be added without breaching the specified aft CG limit.

The critical considerations involve calculating the moment arm for both the existing weight and the additional weight to be added at Station 130.0. The moment is calculated using the equation:

[ \text{Moment} = \text{Weight} \times \text{Arm} ]

Where the arm is the distance from the reference station (often the datum) to where the weight is located. By determining the moment generated by the existing weight and the moment from any additional weight, we can find out how much weight can be added before the CG reaches the aft limit.

By applying