Which weight movement does the cosine correction curve address?

• A. Horizontal weight changes
• B. Vertical weight changes
• C. Diagonal weight changes
• D. Rotational weight changes

Answer: (A)

When a weight is moved and its line of action tilts away from vertical, the force the support actually feels is the vertical component of the weight. That vertical component is W cos(theta), where theta is the angle between the weight and the vertical. As you shift the weight horizontally, theta changes, so the vertical force changes in a predictable cosine pattern. The cosine correction curve is used to adjust for these horizontal shifts, ensuring the measured load reflects the actual vertical load across different horizontal positions.

Vertical changes wouldn’t alter the angle, so no cosine adjustment is needed; diagonal changes involve a combination of horizontal and vertical components and aren’t the specific case this curve targets; rotational changes relate to torques and lever arms rather than the direct vertical projection of the weight.