For weights A, B, and C of 135 pounds at 15 inches, 205 pounds at 117 inches, and 85 pounds at 195 inches, where is the CG located?

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To determine the center of gravity (CG) location, you calculate the moment for each weight, which is the product of the weight and its distance from a reference point (usually the leading edge of the wing or another fixed point). The total moment is then divided by the total weight.

In this case:

  1. Calculate the moment for each weight:
  • For the first weight: 135 pounds at 15 inches

Moment = 135 pounds * 15 inches = 2025 pound-inches.

  • For the second weight: 205 pounds at 117 inches

Moment = 205 pounds * 117 inches = 24085 pound-inches.

  • For the third weight: 85 pounds at 195 inches

Moment = 85 pounds * 195 inches = 16575 pound-inches.

  1. Sum the total moment:

Total Moment = 2025 + 24085 + 16575 = 42685 pound-inches.

  1. Sum the total weight:

Total Weight = 135 + 205 + 85 = 425 pounds.

  1. Calculate the CG location:

CG = Total Moment / Total Weight = 42685 pound-inches / 425 pounds =

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