Two bodies of mass $m_1 = 1$ kg and $m_2 = 3$ kg are connected to each other by
a rope as in the figure; $m_1$ is also attached to a spring with spring constant
$k = 100$ N/m and rest length $d = 1$ m. At the instant $t = 0$, with the spring
at rest and with zero initial velocity, the system is left free to move. In the
absence of friction, determine:
a) the equations of motion for the system of the bodies $x(t)$;
b) the maximum value of the tension in the rope.
0000
$m_1$
X
$m_2$
Z