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A rail car has a total mass of (4 tones). There are two axles, each of which together with its wheels and gearing has a total moment of inertia of (30 kg-m 2). The centre distance between the two wheels on an axle is (1.5 m) and each wheel is of (375 mm) radius. Each axle is driven by a motor, the speed ratio between the two being (1 : 3). Each motor with its gear has a moment of inertia of (15 kg-m 2) and runs in a direction opposite to that of its axle. The centre of gravity of the car is (1.05 m) above the rails. Determine the limiting speed for this car, when it rounding a curve of (240 m) radius such that no wheel leaves the rail. Consider the centrifugal and gyroscopic effects completely. Assume that no cant is provided for outer rail.
Sagot :
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