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Three point like equal masses m1, m2 and m3 are connected to the ends of a massless rod of length L which lies at rest on a smooth horizontal plane (see figure). At t = 0, an explosion occurs between m2 and m3, and as a result, mass m3 is detached from the rod, and moves with a known velocity v at an angle of 30° with the y-axis. Assume that the masses m2 and m3 are unchanged during the explosion.
What is the velocity of the center of mass of the system consisting of three masses, after the expulsion?