What must be the angular speed of the rotating ball (middle picture in the simulation) such that the velocity of the point on the ball in contact with the surface (third picture in the simulation) is equal to zero at any given instant

Aspring is used to stop a 50-kg package which is moving down a 20º incline. the spring has a constant k = 30 kn/m and is held by cables so that it is initially compressed 50 mm. knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.