Two small disks A and B, of mass 3 kg and 1.5 kg,

Chapter 14, Problem 14.53

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Two small disks A and B, of mass 3 kg and 1.5 kg, respectively, may slide on a horizontal, frictionless surface. They are connected by a cord, 600 mm long, and spin counterclockwise about their mass center G at the rate of 10 rad/s. At t = 0, the coordinates of G are \(\bar{x}_{0}=0\), \(\bar{y}_0=2\mathrm{\ m}\), and its velocity \(\bar{\mathbf{v}}_0=(1.2\mathrm{\ m}/\mathrm{s})\mathbf{i}+(0.96\mathrm{\ m}/\mathrm{s})\mathbf{j}\). Shortly thereafter the cord breaks; disk A is then observed to move along a path parallel to the y axis and disk B along a path which intersects the x axis at a distance b = 7.5 m from O. Determine (a) the velocities of A and B after the cord breaks, (b) the distance a from the y axis to the path of A.