17. As indicated in the figure, a motor bike of total mass m (m is the mass of bike plus rider) is ridden along a horizontal trajectory of radius R on the inside of a cylindrical cage. trajectory R bike- a The bike and the rider are inclined at an angle a to the wall. The angles a that the bike can make with respect to the walls of the cage are limited by its handle bars to a certain minimum min > 0. The tyres of the bike have a very high co-efficient of friction with the cage so that the tyres can only roll but not slip along the cage. (a) Show in a diagram the forces acting on the bike if it is to maintain a horizontal trajectory as shown in the figure. (b) At what minimum speed Umin must the bike travel if it is not to fall down? (c) Given that amin = = 30, R = 4m, g = 10 ms-2, m = 250 kg find a numerical value for Umin- [2] [3] [1]