The figure below shows a thin, uniform bar of length D =1.11 m and mass M =0.82 kg pivoted at the top. The rod, which is initially at rest, is struck by a particle whose mass is m = 0.30 kg at a point x = 0.80d below the pivot. Suppose that the particle sticks to the rod. If the maximum angle among the rod and the vertical following the collision is 60°, find the speed of the particle before impact.