A uniform triangular plate \( A B C \) of mass \( m \) and moment of inertia \( I \) (about an a...

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A uniform triangular plate \( A B C \) of mass \( m \) and moment of inertia \( I \) (about an axis passing through \( A \) and perpendicular to plane of the plate) can rotate freely in the vertical plane about point \( A \) as shown in figure. The plate is released from the position shown in the figure. Line \( A B \) is horizontal. The acceleration of centre of mass just after the release of plate is
(1) \( \frac{m g a^{2}}{\sqrt{3} I} \)
(2) \( \frac{m g a^{2}}{4 I} \)
(3) \( \frac{m g a^{2}}{2 \sqrt{3} I} \)
(4) \( \frac{m g a^{2}}{3 I} \)
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