A uniform \( \operatorname{rod} A B \) hinged about a fixed point \( P \) is initially vertical....

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A uniform \( \operatorname{rod} A B \) hinged about a fixed point \( P \) is initially vertical. A rod is released from vertical position. When rod is in horizontal position.
The reaction at hinge \( P \) is
(1) \( -\frac{8 m g}{7} \hat{i}-\frac{12 m g}{7} \hat{j} \)
(2) \( -\frac{3 m g}{7} \hat{i}-\frac{9 m g}{7} \hat{j} \)
(3) \( -\frac{6 m g}{7} \hat{i}+\frac{4 m g}{7} \hat{j} \)
(4) \( -\frac{12 m g}{7} \hat{i}-\frac{6 m g}{7} \hat{j} \)
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