Let \( I \) be the moment of inertia of a uniform square plate about an axis \( A B \) that pass...
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Let \( I \) be the moment of inertia of a uniform square plate about an axis \( A B \) that passes through its centre and is parallel to two of its sides. \( C D \) is a line in the plane of the plate and it passes through the centre of the plate, making an angle \( \theta \) with \( A B \). The moment of inertia of the plate about the axis \( C D \) is equal to
(1) \( I \)
(2) \( I \sin ^{2} \theta \)
(3) \( I \cos ^{2} \theta \)
(4) \( I \cos ^{2}\left(\frac{\theta}{2}\right) \)
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