Current weight is 1,600 lb with a CG of 40 inches. If you add 200 lb at 15 inches, what is the new CG?

Current weight is 1,600 lb with a CG of 40 inches. If you add 200 lb at 15 inches, what is the new CG?

• A. 37.2 inches
• B. 37.0 inches
• C. 39.0 inches
• D. 35.0 inches

Answer: (A)

Center of gravity shifts when you add a load. To find the new CG, multiply each weight by its arm, sum those moments, and divide by the total weight. Initial moment: 1,600 lb × 40 in = 64,000 lb-in. Added moment: 200 lb × 15 in = 3,000 lb-in. Total weight: 1,600 + 200 = 1,800 lb. Total moment: 64,000 + 3,000 = 67,000 lb-in. New CG = 67,000 / 1,800 ≈ 37.22 inches, about 37.2 inches. The CG moves forward (toward the added weight) from 40 inches to ~37.2 inches, which matches the forward load placement.

Center of gravity shifts when you add a load. To find the new CG, multiply each weight by its arm, sum those moments, and divide by the total weight.

Initial moment: 1,600 lb × 40 in = 64,000 lb-in.

Added moment: 200 lb × 15 in = 3,000 lb-in.

Total weight: 1,600 + 200 = 1,800 lb.

Total moment: 64,000 + 3,000 = 67,000 lb-in.

New CG = 67,000 / 1,800 ≈ 37.22 inches, about 37.2 inches.

The CG moves forward (toward the added weight) from 40 inches to ~37.2 inches, which matches the forward load placement.