Given weights A, B, and C, where would the CG be located if Weight A is 155 pounds at 45 inches, Weight B is 165 pounds at 145 inches, and Weight C is 95 pounds at 185 inches?

Given weights A, B, and C, where would the CG be located if Weight A is 155 pounds at 45 inches, Weight B is 165 pounds at 145 inches, and Weight C is 95 pounds at 185 inches?

• A. 110.0 inches
• B. 116.8 inches
• C. 120.5 inches
• D. 125.0 inches

Answer: (B)

To determine the location of the center of gravity (CG) with the given weights and their respective locations, you can use the formula for calculating the weighted average of the moments. The moments are calculated by multiplying the weight by its distance from a reference point (usually the nose of the aircraft or a specified point). 1. Calculate the moments for each weight: - Moment of Weight A: 155 pounds * 45 inches = 6,975 pound-inches - Moment of Weight B: 165 pounds * 145 inches = 23,925 pound-inches - Moment of Weight C: 95 pounds * 185 inches = 17,575 pound-inches 2. Now, compute the total weight: - Total weight = 155 + 165 + 95 = 415 pounds 3. Calculate the total moment: - Total moment = 6,975 + 23,925 + 17,575 = 48,475 pound-inches 4. Finally, find the center of gravity location by dividing the total moment by the total weight: - CG = Total moment / Total weight = 48,475 / 415 = 116.8 inches This computation indicates that

To determine the location of the center of gravity (CG) with the given weights and their respective locations, you can use the formula for calculating the weighted average of the moments. The moments are calculated by multiplying the weight by its distance from a reference point (usually the nose of the aircraft or a specified point).

1. Calculate the moments for each weight:

• Moment of Weight A: 155 pounds * 45 inches = 6,975 pound-inches

• Moment of Weight B: 165 pounds * 145 inches = 23,925 pound-inches

• Moment of Weight C: 95 pounds * 185 inches = 17,575 pound-inches

2. Now, compute the total weight:

• Total weight = 155 + 165 + 95 = 415 pounds

3. Calculate the total moment:

• Total moment = 6,975 + 23,925 + 17,575 = 48,475 pound-inches

4. Finally, find the center of gravity location by dividing the total moment by the total weight:

• CG = Total moment / Total weight = 48,475 / 415 = 116.8 inches

This computation indicates that