A railway buffer consists of a pair of cylinders placed parallelside-by-side. Oil is present in each cylinder and is arranged tobypass through ports, thereby producing a damping resistance, whichis proportional to the velocity of the piston within the cylinder.The magnitude of this resistance is 50 kN at a velocity of 0.25m/s. Each cylinder also contains a compression spring, initiallywith negligible compression, of stiffness 65 kN/m. A rigid train ofmass 250 tons is moving at a speed of 1.6 m/s and collides with thebuffer. Determine the distance taken by the train before firstcoming to rest. Assuming that the train comes into contact and thenbecome attached to the free end of the buffer. Determine the timeit takes the train to come to a complete stop. Solution for thisproblem should show the position and velocity of the train.
