A uniform rod of mass \( m \) and length \( l \) rests on a smooth horizontal surface. One of th...

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A uniform rod of mass \( m \) and length \( l \) rests on a smooth horizontal surface. One of the ends of the rod is struck in a horizontal direction at right angles to the rod. As a result the rod obtains velocity \( v_{0} \). Find the force with which one half of the rod will act on the other in the process of motion.
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