Two uniform boards, tied together with the help of a string, are balanced on a surface as shown ...

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Two uniform boards, tied together with the help of a string, are balanced on a surface as shown in figure,

The coefficient of static friction between boards and surface is \( 0.5 \). The minimum value of \( \theta \), for which this type of arrangement is possible is
(1) \( 30^{\circ} \)
(2) \( 45^{\circ} \)
(3) \( 37^{\circ} \)
(4) it is not possible to have this type of balanced arrangement
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