An airplane is loaded to a gross weight of 4,800 pounds, with a CG located 98 inches aft of datum. If luggage weighing 90 pounds is moved, what is the new CG?

To find the new center of gravity (CG) after moving the luggage, it’s necessary to apply the concept of moments and the formula for calculating the CG.

Initially, the CG is located at 98 inches aft of datum, with a total weight of 4,800 pounds. The moment at this point can be calculated as the product of the weight and the CG position:

Initial Moment = Gross Weight × CG Position

= 4,800 pounds × 98 inches

= 470,400 inch-pounds.

When the 90-pound luggage is moved, the weight affects the total weight and the CG position. If we assume the luggage is moved towards the front of the airplane, the moment of the luggage will decrease based on its new position, while the total weight will now be 4,800 - 90 = 4,710 pounds.

To recalculate, the moment after moving the luggage will need to be reassessed, considering both the weight of the remaining airplane load and the new position of the luggage.

Using the new weight and original moment to establish the new CG position involves balancing the moments around the datum:

New Moment = (Total Weight × New CG Position) = (New Total Weight × New CG)

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