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Banking of circular track

Question:

Banking of circular track

The sleepers of a railway track which is turning round a bend of radius 60m are banked so that a train traveling at 40 km/hr exerts no lateral force on the rails. Find the lateral force exerted on the rails by an engine of mass 10^5 kg when traveling at 30 km/hr? Does the force act on the inner or out rail? How does one know?

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Mathematics: Banking of circular track

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Mathematics: Banking of circular track

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