A toy train consists of an engine and wagon of equal mass m each, connected by a spring
with spring constant k. The relaxed length of the spring may be considered to be zero. The
train is initially placed at the center of a horizontal, circular turntable (see Fig. 1), and is
free to move on a radial frictionless track on the turntable. The engine (alone) is now given
an initial (radial) velocity v0, and the turntable is independently set in motion to rotate
counterclockwise with an angular speed !. Neglect the physical dimensions of the train.
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