Two small disks A and B, of mass 2 kg and 1 kg, respectively, may slide on

Question:

Two small disks A and B, of mass 2 kg and 1 kg, respectively, may slide on a horizontal and frictionless surface. They are connected by a cord of negligible mass and spin about their mass center G. At t = 0, G is moving with the velocity vÌ…0 and its coordinates are xÌ…0 = 0, yÌ…0 =1.89 m. Shortly thereafter, the cord breaks and disk A is observed to move with a velocity vA = (5 m/s)j in a straight line and at a distance a = 2.56 m from the y-axis, while B moves with a velocity vB = (7.2 m/s)i - (4.6 m/s)j along a path intersecting the x-axis at a distance b = 7.48 m from the origin O. Determine

(a) The initial velocity vÌ…0 of the mass center G of the two disks,

(b) The length of the cord initially connecting the two disks,