A solo motor cycle, ride and passenger together have a mass of 320 kg, the combined centre of gravity being 525mm above ground level. The wheels of the machine each have a mass of 9 kg, a radius of gyration of 225 mm and an effective rolling radius of 300 mm. The rotating parts of the engine have a mass of 12 kg, a radius of gyration of 75 mm and rotate in the same sense as the road wheels. The gear ratio, engine to back wheel, is 3.5:1. The machine is travelling round a banked curve. Determine the angle of the banking necessary for the machine to ride normal to the road on a bend of 60 m radius at a speed of 160 km/h, allowing for gyroscopic effects.