Where would the center of gravity (CG) be located aft of datum given weights A (155 lb), B (165 lb), and C (95 lb) at their respective arm positions?

To determine the correct location of the center of gravity (CG), we first need to apply the concept of moments, which relate the weight of each point and its distance from the reference datum. The CG can be calculated by finding the weighted average of the arm positions based on the weights.

1. Start by calculating the total weight:

Total Weight = Weight A + Weight B + Weight C

Total Weight = 155 lb + 165 lb + 95 lb = 415 lb

2. Now, we need to calculate the moment contributed by each weight:

• For weight A at its specific arm position (let’s assume the position is known, e.g., 110 inches).

• For weight B, also at a specific arm position (e.g., 120 inches).

• For weight C at another arm position (e.g., 130 inches).

This gives us:

Moment A = Weight A × Arm A

Moment B = Weight B × Arm B

Moment C = Weight C × Arm C

3. Calculate each moment:

• Moment A = 155 lb × 110 inches = 17,050 lb-in

• Moment B = 165 lb × 120 inches