If a bead slides frictionlessly along a wire on a horizontal table. The wire is in the shape of a spiral, and the bead is given an initial push at the outer side of the spiral, so that it slides along in an "orbit" of decreasing radius.Is the bead going faster as it moves inward? Is its energy conserved? If not, how is it acquiring energy? Is the angular momentum of the bead conserved? If not what torque is acting on it? I would say that the bead goes faster because it getting closer to the radius and that energy is not conserved because it gain energy as it gets closer to the center. Is the right? I'm not if angular momentum is conserved, or if there is torque... Can someone please elaborate?