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A small bar A resting on a smooth horizontal plane is attached by threads to a point \( \mathrm{P} \)
(Fig.) and by means of a weightless pulley, to a weight B possessing the same mass as the bar itself. Besides, the bar is also attached to a point 0 by means of a light non deformed spring of length \( C_{0} \mathrm{~cm} \) and stiffness \( k=5 \mathrm{mg} / \mathbf{l}_{0} \), where \( m \) is the mass of the bar. The thread PA having been burned, the bar starts moving its velocity at the moment when it is breaking off the plane is \( \sqrt{\frac{19 g}{4 x} \underline{0}} \). Find \( x \)
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