Solved: The cable cars in San Francisco are pulled along

Chapter 7, Problem 7.55

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The cable cars in San Francisco are pulled along their tracks by an underground steel cable that moves along at 9.5 mph. The cable is driven by large motors at a central power station and extends, via an intricate pulley arrangement, for several miles beneath the city streets. The length of a cable stretches by up to 100 ft during its lifetime. To keep the tension constant, the cable passes around a 1.5-m-diameter tensioning pulley that rolls back and forth on rails, as shown in FIGURE EX7.21. A 2000 kg block is attached to the tensioning pulleys cart, via a rope and pulley, and is suspended in a deep hole. What is the tension in the cable cars cable?

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