A stylized Christmas tree, made up of two homogeneous rigid bodies of mass m=5kg each, height l=1m, with a triangular vertical section, base equal to the height and negligible thickness, rotates around the vertical axis passing through the height - on a frictionless horizontal plane - making 4 revolutions per minute. It has ten balls hanging along the sides of the two triangles at equidistant intervals starting from the top and reaching the bottom vertices (excluding the tip, occupied by a single ball). Considering the point balls, if you gradually remove the balls, what happens to the angular velocity of the tree? Say whether it changes or remains constant and why. Find its expression as a function of the masses of the balls.
