Walker, Halliday & Resnick — Force and Motion-I: Problem 66

66 Figure 5-47 shows a section of a cable-car system. The maximum permissible mass of each car with occupants is 2750 kg. The cars, riding on a support cable, are pulled by a second cable attached to the support tower on each car. Assume that the cables are taut and inclined at angle \(\theta = 35^\circ\). What is the difference in tension between adjacent sections of pull cable if the cars are at the maximum permissible mass and are being accelerated up the incline at \(0.81 \text{ m/s}^2\)?