Answer Happy

this problem is NOT the one with 2 springs. this has just one spring. solve accordingly please. do not post the solution of two spring
3. (30) A railroad car of mass m = 1500 kg is to be coupled to an assembly of two precoupled identical railroad cars. The coupler between cars 2 and 3 is an elastic connection of stiffness k = 4.2 *10' N/m. The first car is rolled toward the other cars with a velocity of 7 m/s, as shown in Figure. It gets rigidly coupled to second car with a plastic impact so that the initial velocity of cars 1 and 2 combined becomes 3.5 m/s. a. Find the natural frequencies and the modes shapes of the system b. Determine the motion of the railroad cars x(t) =[x₁(t) x₂(t)], after coupling is achieved. 1500 kg 7 m/s m m 1500 kg ww (b) m www 1500 kg O k= 4.2 x 107 N/m