Let \( I_{1}, I_{2} \) and \( I_{3} \) be the moment of inertia of ...
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Let \( I_{1}, I_{2} \) and \( I_{3} \) be the moment of inertia of a uniform square plate about axis \( \mathrm{AOC}, \mathrm{xDx}^{\prime} \) and \( \mathrm{yBy}^{\prime} \) respectively as shown in the figure. The moments of inertia of the plate \( I_{1}: I_{2}: I_{3} \) are in the ratio.
(1) \( 1: \frac{1}{7}: \frac{1}{7} \)
(2) \( 1: \frac{12}{7}: \frac{12}{7} \)
(3) \( 1: \frac{7}{1}: \frac{7}{12} \)
(4) \( 1: 7: 7 \)
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