Rotational dynamics

The three identical spheres, each of mass m, are supported in the vertical plane on the \(30^\circ\) incline. The spheres are welded to the two connecting rods of negligible mass and equal length. The upper sphere is pivoted freely to a rod of negligible mass and length \(\SI{0.49}{m}\) whose other end is attached to a bracket at A. If the stop at B is suddenly removed, determine the velocity \(v\) (in \(ms^{-1}\)) with which the upper sphere hits the incline.

Note: Assume pure rolling.

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