The car weighing m=50 tons is mounted on springs with 8 springs. Rigidity of each spring k=400 kN/m. Determine the speed v of the movement of the car along the rails, at which the car will sway strongly due to periodic impacts at the joints of the rails. Rail length L=12.5 m.

A detailed solution with a brief note of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
If you have any questions about the solution, write. I try to help.