Problem

(II) A train locomotive is pulling two cars of the same mass behind it, Fig. 4-51. Determine the ratio of the tension in the coupling (think of it as a cord) between the locomotive and the first car to that between the first car (FT1) and the second car (FT2) for any nonzero acceleration of the train.

Solution 28P: Tension is the internal developed in the coupling which depends upon the application and magnitude of force applied. In this problem, we have to find out the ratio of tensions between the two string. Step 1 of 3 Concept: Newton’s second law: The net force F acting on an object of mass m produces an acceleration a in the object. Mathematically, F = ma. Step 2 of 3 Figure below shows the diagrammatic representation of the forces acting on the system. T 1 Tension in the coupling between connecting second car and first car. T 2 Tension in the coupling between connecting first car and the train locomotive. a Acceleration of the train locomotive engine. m mass of first and second cars