Question

2. A toy train consists of an engine and wagon of equal mass m cach, 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 centre 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 (raclinl) velocity 10, and the turntable is independently set in motion to rotate
counterclockwise with an angular speed w. Neglect the physical dimensions of the train.
st
**
Figure 1:
(a) Write down the equntions of motion for the radial coordinates of the engine and the
wzgon, denoted by n and r2 (1 MARK)
(b) Using (a), write down the equation of motion for the radial coordinate R(C) of the centre
of mass (COM) of the train. Solve this equation subject to the given initial conditions
and determine R(2) (2 MARKS).
(c) Using (a), write down the equation of motion for the separation r=n-r2 between
the engine and the wagon. Solve the equation and find r(t) subject to the given initial
conditions (assume that w? <2k/m) (2 MARKS).
d) Find r(t) if w? > 2k/m Speculate about what would happen to the train in this case,
if the table is infinite in extent (2 MARKS)
у
U.
U-
0
Figure 2
Tietoa altra
sonin!​

Answer 1

Answer:

If you will follow me then only I tell you answer.