What would be the new CG location if 135 pounds of weight were added at station 109.0 to an aircraft with a total weight of 2,340 lbs and a CG location at Station 103.0?

To determine the new center of gravity (CG) location after adding weight to an aircraft, it’s essential to utilize the principles of moments and the formula for calculating CG. The CG can be calculated using the formula:

[ \text{New CG} = \frac{(\text{Current Total Weight} \times \text{Current CG}) + (\text{Added Weight} \times \text{Station of Added Weight})}{\text{New Total Weight}} ]

In this instance, the current total weight of the aircraft is 2,340 lbs located at a CG of Station 103.0. When an additional 135 lbs is added at Station 109.0, the new total weight will be:

[ 2,340 \text{ lbs} + 135 \text{ lbs} = 2,475 \text{ lbs} ]

Next, calculate the moment produced by the current weight and its CG:

[ \text{Moment} = 2,340 \text{ lbs} \times 103.0 ]

Now add the moment produced by the added weight:

[ \text{Moment from added weight} = 135 \text{ lbs} \times 109.0 ]

Combine