A fast train having speed v = 100 m/s moves on a straight track at latitude 60° N. A plumb bob is hanged from the ceiling. Sketch a free-body diagram and determine the angle (from the vertical) the plumb bob is deflected by the Coriolis force, when the train is travelling i) north, ii) east. (Note: “vertical” signifies the direction stated by a plumb bob in a stationary train at that location. Be sure to describe why you can avoid the centrifugal force in this problem).