The cold is here and winter sports are back! Your snowboarder buddy wants to practice tricks, so on a nearby frozen lake they're trying out their new, large, very low friction half-pipe (never mind how it got there!). You watch them (of mass m) climb to the top of the structure (of mass M and radius R). Starting from rest, they slide down on their board. Predict, in as much detail as you can, the motion your buddy and the platform experience. Assume air resistance, friction between the snowboard and the half-pipe, and friction between the half-pipe and the frozen lake are negligible. Justify your statements as we've done throughout this class, e.g, using observation, experience, intuition, physical principles, mathematical models, etc