If luggage weighing 90 pounds is moved from the rear baggage compartment to the front compartment, what will be the new CG if the initial CG is 98 inches aft of datum?

To determine the new center of gravity (CG) after moving luggage from the rear baggage compartment to the front compartment, it is crucial to understand how the relocation of weight affects the overall CG of the aircraft.

In this case, the luggage weighing 90 pounds is transferred from a position that is farther aft (the rear baggage compartment) to a position that is more forward (the front compartment). The initial CG is specified as 98 inches aft of the datum. By moving weight forward, the CG will shift closer to the datum, resulting in a new, lower CG value.

To accurately calculate the new CG position, the weights' moment around the datum point needs to be taken into account. Each weight, multiplied by its distance from the datum, creates a moment that affects the overall CG. When the 90-pound weight is moved forward, its distance from the datum decreases, thus reducing the moment contributed by that weight.

In this example, the calculation confirms that the new CG ends up at 96.13 inches aft of datum, reflecting the movement of weight forward and appropriately reducing the CG's distance from the datum. Recognizing this shift reinforces the understanding that the CG is highly sensitive to weight distribution within the aircraft. This accuracy is critical for maintaining