Challenge Problem: Consider a bicycle wheel with rim of mass M and axle of mass m. The masses of the wheel's thin spokes are so m small that we will neglect them. Initially, the wheel is resting on a horizontal surface, and you hold its axle, a hand on each side of the wheel, so that it doesn't tip over. At time t = 0 s you exert a horizontal force of magnitude F on the axle so that the wheel begins to roll without slipping. Part 1. Determine the wheel's speed when you have pushed it forward a distance d. Part 2. Determine the magnitude of the friction force that the surface on which the wheel rolls exerts on the wheel while you are pushing it.