The height of its center of gravity of a four wheeled vehicle is 1.1 m above the road surface and equidistant from each of the wheels. The track width of 1.5 m and the limiting coefficient of friction between the wheels and the road surface is 0.7.
Determine
(a) the maximum speed at which the vehicle can travel round a curve of radius 90 m,
(b) the angle to which the curve would have to be banked for the vehicle to travel round it at a speed of 60 km h 1 without any tendency to side-slip?