Three small spheres A, B, and C, each of mass m, are connected to a small ring D of mass 2m by means of three inextensible, inelastic cords of length l which are equally spaced. The spheres can slide freely on a frictionless horizontal surface and are rotating initially at a speed v0 about ring D which is at rest. The cord CD breaks at time t = 0 when the spheres and ring are in the position shown. Considering the system which consists of ring D and spheres A and B, determine for t > 0,(a) The position vector r of the mass center G of the system,(b) The angular momentum HG of the system about G,(c) The kinetic energy T of thesystem.

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B A 30° 120⁰ C₂