Chapter 14.2, Problem 14.56P

Three small identical spheres A, B, and C, which can slide on a horizontal, frictionless surface, are attached to three strings of length l which are tied to a ring G. Initially the spheres rotate clockwise about the ring which moves along the x axis with a velocity v_o. Suddenly the ring breaks and the three spheres move freely in the xy plane. Knowing that $v_A=\left(3.5\text{ft/s}\right)\text{j}$ , $v_c=\left(6.0\text{ft/s}\right)\text{i}$ , $a=16$ in., and $d=9$ ., determine (a) the initial velocity ring, (b) the length l of the strings, (c) the rate in rad/s at which the spheres were rotating about G.