High School

Weight A: 155 pounds at 45 inches aft of datum
Weight B: 165 pounds at 145 inches aft of datum
Weight C: 95 pounds at 185 inches aft of datum

Based on this information, where would the center of gravity (CG) be located aft of datum?

Answer :

Final answer:

To find the location of the center of gravity (CG) aft of the datum, calculate the moment for each weight and sum them up. Then divide the average moment by the total weight to find the CG location.

Explanation:

To find the location of the center of gravity (CG) aft of the datum, we need to calculate the moment for each weight and then sum them up. The moment is calculated by multiplying the weight by the distance from the datum. For weight a, the moment is 155 pounds * 45 inches. For weight b, the moment is 165 pounds * 145 inches. For weight c, the moment is 95 pounds * 185 inches. Finally, add up the moments and divide by the total weight to find the average moment. Divide the average moment by the total weight to find the CG location:

Average Moment = (155 * 45) + (165 * 145) + (95 * 185)

Total Weight = 155 + 165 + 95

CG Location = Average Moment / Total Weight

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