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

Figure 5.40 shows a section of a cable-car system. The maximum permissible mass of each car with occupants is $2800 \text{ kg}$. 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 the pull cable if the cars are at the maximum permissible mass and are being accelerated up the incline at $0.81 \text{ m/s}^2$?