Tilting trains, such as the American Flyer which will run from Washington to New York and Boston, are designed to travel
safely at high speeds on curved sections of track which were
built for slower, conventional trains. As it enters a curve, each
car is tilted by hydraulic actuators mounted on its trucks. The
tilting feature of the cars also increases passenger comfort by
eliminating or greatly reducing the side force Fs (parallel to the
floor of the car) to which passengers feel subjected. For a train
traveling at 100 mi/h on a curved section of track banked through
an angle u 5 6° and with a rated speed of 60 mi/h, determine
(a) the magnitude of the side force felt by a passenger of weight W
in a standard car with no tilt (f 5 0), (b) the required angle
of tilt f if the passenger is to feel no side force. (See Sample