A motor cycle has wheel base 1.44 m apart. The centre of gravity of the cycle and rider is 0.76 m above ground level and 0.61 m in front of the rear axle. The coefficient of friction between the tyres and the road is 0.75. If the rear wheel is braked, find the greatest deceleration that can be obtained. If the cycle is moving in a straight path. If it is going round a curve of 45.7 m radius at 48 km/h. Assume a level road and neglect air resistance. Neglect rotational inertia and obliquity when turning.
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A steering ratio of x:y means that a turn of the steering wheel x degree(s) causes the wheel(s) to turn y degree(s). In most passenger cars, the ratio is between 12:1 and 20:1. For example, if one complete turn of the steering wheel, 360 degrees, causes the wheels to turn 24 degrees, the ratio is then 360:24 = 15:1.
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