A stick \( A B \) of mass \( M \) is tied at one end to a light string \( O A \). A horizontal f...

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A stick \( A B \) of mass \( M \) is tied at one end to a light string \( O A \). A horizontal force \( F=M g \) is applied at end \( B \) of the stick and its remains in equilibrium
\( \mathrm{P} \) in position shown. Then,

W
(1) \( \alpha \) is \( \tan ^{-1} \) (2)
(2) the value of \( \beta \) is \( 45^{\circ} \)
(3) tension in string \( O A \) is \( \sqrt{2} M g \)
(4) the value of \( \alpha \) is \( \tan ^{-1}\left(\frac{1}{2}\right) \)
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