Moving 40 lb baggage from 120 inches to 60 inches changes CG by approximately how much?

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Multiple Choice

Moving 40 lb baggage from 120 inches to 60 inches changes CG by approximately how much?

Explanation:
When you move a known weight within the aircraft, the center of gravity shifts in proportion to how far and how much weight you relocate, relative to the aircraft’s total weight. The change in the CG is the change in moment divided by the total weight. Here, you move 40 lb of baggage from 120 inches to 60 inches, a forward move of 60 inches. The change in moment is 40 lb times 60 in = 2400 in-lb, and because the weight moves forward, this moment change is negative relative to the reference direction (toward the nose). The resulting CG shift is this moment change divided by the total aircraft weight. Using the total weight around 2,180 lb (a typical value in problems like this), the shift is 2400 / 2180 ≈ 1.1 inches toward the nose (negative by the common sign convention). So the CG moves about 1.1 inches forward (negative sign indicating forward shift).

When you move a known weight within the aircraft, the center of gravity shifts in proportion to how far and how much weight you relocate, relative to the aircraft’s total weight. The change in the CG is the change in moment divided by the total weight.

Here, you move 40 lb of baggage from 120 inches to 60 inches, a forward move of 60 inches. The change in moment is 40 lb times 60 in = 2400 in-lb, and because the weight moves forward, this moment change is negative relative to the reference direction (toward the nose).

The resulting CG shift is this moment change divided by the total aircraft weight. Using the total weight around 2,180 lb (a typical value in problems like this), the shift is 2400 / 2180 ≈ 1.1 inches toward the nose (negative by the common sign convention).

So the CG moves about 1.1 inches forward (negative sign indicating forward shift).

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