Question

For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through \( O \) (the center of mass) and \( O' \) (corner point) is:

• A. \( \frac{2}{3} \)
• B. \( \frac{1}{4} \)
• C. \( \frac{1}{8} \)
• D. \( \frac{1}{2} \)

Hint:

To compute the moment of inertia about an axis parallel to the center of mass axis, apply the parallel axis theorem: \( I = I_{\text{center}} + M \cdot d^2 \). Ensure correct calculations for \( d \), the perpendicular distance.