You need to hang a traffic light in the middle of a tight cable supported by...

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You need to hang a traffic light in the middle of a tight cable supported by two poles on opposite sides of the road. You don't want to cable to sag too much in the middle; otherwise, trucks might hit the traffic light. The poles are 30 ft apart and 23 ft tall. The traffic light is 37 lb and hangs down 4 ft from where it attaches to the cable. What is the tension required to hold the weight up? (a) Draw a diagram of the scenario. Label relevant lengths and angles. (b) Draw a force diagram for the traffic light. (c) What physics concepts are needed to solve this problem? Do you need to make any assump- tions or simplifications? (d) Show the steps to get the final answer. You need to hang a traffic light in the middle of a tight cable supported by two poles on opposite sides of the road. You don't want to cable to sag too much in the middle; otherwise, trucks might hit the traffic light. The poles are 30 ft apart and 23 ft tall. The traffic light is 37 lb and hangs down 4 ft from where it attaches to the cable. What is the tension required to hold the weight up? (a) Draw a diagram of the scenario. Label relevant lengths and angles. (b) Draw a force diagram for the traffic light. (c) What physics concepts are needed to solve this problem? Do you need to make any assump- tions or simplifications? (d) Show the steps to get the final answer.

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This problem involves a hanging traffic light supported by a cable between two poles To approach this question systematically lets handle each part a through d step by step a Drawing a diagram of the ... View the full answer