A string of negligible mass passes over a fixed pulley and supports a 2m mass at one end. In it At the other end of the

[answerhappygod]

A string of negligible mass passes over a fixed pulley and
supports a 2m mass at one end. In it At the other end of the rope
there is a mass m and, moving from it by means of a resource of
constant k, there is another mass m. Find the equations of motion
of the system by Lagrange's method and by Hamilton method. In the
figure 𝑙𝑒 represents the rest length of the resource and x its
displacement.