If you double the load arm while keeping weight the same, what happens to CG?

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Multiple Choice

If you double the load arm while keeping weight the same, what happens to CG?

Explanation:
Center of gravity is the weighted average of all weight locations along the reference axis. If you double the distance (load arm) of a particular weight while keeping its weight the same, you increase that weight’s moment (weight × distance) without changing the total weight. That larger moment pulls the overall CG toward that weight’s side because the numerator in the CG calculation grows while the denominator stays the same. So the CG shifts toward the side with the greater moment arm. The other options aren’t correct: the CG wouldn’t stay unchanged, wouldn’t become undefined as long as total weight is positive, and its directional shift is determined by which side has the larger moment contribution.

Center of gravity is the weighted average of all weight locations along the reference axis. If you double the distance (load arm) of a particular weight while keeping its weight the same, you increase that weight’s moment (weight × distance) without changing the total weight. That larger moment pulls the overall CG toward that weight’s side because the numerator in the CG calculation grows while the denominator stays the same. So the CG shifts toward the side with the greater moment arm. The other options aren’t correct: the CG wouldn’t stay unchanged, wouldn’t become undefined as long as total weight is positive, and its directional shift is determined by which side has the larger moment contribution.

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