A payload of 150 lb at 10 inches is added to a 1,600 lb airplane at 40 inches. What is the new CG?

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Multiple Choice

A payload of 150 lb at 10 inches is added to a 1,600 lb airplane at 40 inches. What is the new CG?

Explanation:
Center of gravity is found by balancing moments: sum of each weight times its distance from the reference, divided by the total weight. Here, the airplane weighs 1600 lb with its CG at 40 inches, giving a moment of 1600 × 40 = 64,000 lb-in. The payload adds 150 lb at 10 inches, adding 150 × 10 = 1,500 lb-in. The total weight is 1750 lb and the total moment is 65,500 lb-in. So the new CG is 65,500 / 1,750 ≈ 37.4286 inches, about 37.43 inches. Since the payload is forward of the original CG, the CG moves forward from 40 inches toward 37.43 inches.

Center of gravity is found by balancing moments: sum of each weight times its distance from the reference, divided by the total weight. Here, the airplane weighs 1600 lb with its CG at 40 inches, giving a moment of 1600 × 40 = 64,000 lb-in. The payload adds 150 lb at 10 inches, adding 150 × 10 = 1,500 lb-in. The total weight is 1750 lb and the total moment is 65,500 lb-in. So the new CG is 65,500 / 1,750 ≈ 37.4286 inches, about 37.43 inches. Since the payload is forward of the original CG, the CG moves forward from 40 inches toward 37.43 inches.

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