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Answer :
Final answer:
To find the center of gravity, calculate and sum the moments of all weights, then divide by the total weight. The CG of the given weights is 100.8 inches aft of datum.
Explanation:
To find the center of gravity (CG) of a system, we calculate the moment of each weight (product of weight and its distance from datum) and sum these values. Then, we divide this sum by the total weight of the system. The general formula is: CG = (Sum of Moments) / (Total Weight).
- Moment of Weight A = 120 lb * 15" = 1,800 in-lb
- Moment of Weight B = 200 lb * 117" = 23,400 in-lb
- Moment of Weight C = 75 lb * 195" = 14,625 in-lb
- Total Moment = 39,825 in-lb
- Total Weight = 120 lb + 200 lb + 75 lb = 395 lb
Therefore, CG = 39,825 in-lb / 395 lb = 100.8 inches aft of datum.
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