Could 100 pounds of weight be shifted from Station 30.0 to Station 120.0 without exceeding the forward CG limit of an aircraft weighing 4,750 lb?

Shifting 100 pounds of weight from Station 30.0 to Station 120.0 can affect the center of gravity (CG) of an aircraft, which is critical for maintaining safe flight characteristics. To determine if the CG remains within the forward limit after the weight shift, the calculation involves finding the moment generated by the weights at their respective stations and then calculating the new CG based on the total weight and total moment after the shift.

For this scenario, you first calculate the moments from the original position of the weight at Station 30.0, and the moment that would be created by placing that weight at Station 120.0. The original aircraft weight and moment will also be considered in the calculation. After computing the total weight and moment, you can derive the new CG position.

The provided answer indicates that the new CG after moving the 100 pounds would be at Station 117.69, which does not exceed the forward CG limit of the aircraft. Thus, it confirms that the weight transfer is permissible while keeping the CG within limits. This outcome validates that the movement of weights must consider the overall balance and stability of the aircraft, confirming that the shift can indeed take place without exceeding safety limits.