An experimental magnetically levitated train is supported by magnetic repulsion forces exerted in a direction normal to the tracks. Motion of the train transverse to the tracks is prevented by lateral supports. Suppose that the 25,000-kg train is traveling at 25 m/s on a circular segment of a track of radius R = 150 m, and the bank angle of the track is 40°, what force must the magnetic levitation system exert to support the train, and what total force is exerted by the lateral supports?

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An experimental magnetically levitated train is supported by magnetic repulsion forces exerted in a direction normal to the tracks. Motion of the train transverse to the tracks is prevented by lateral supports. Suppose that the 25,000-kg train is traveling at 25 m/s on a circular segment of a track of radius R = 150 m, and the bank angle of the track is 40°, what force must the magnetic levitation system exert to support the train, and what total force is exerted by the lateral supports?
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