# 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.

×