Tension Q

[Addallat]

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A 1000 kg gondola is operated on a cable between two towers 340 meters apart. When the gondola is exactly between the towers, it is 100 meters below their height. What is the tension in the cable at this midpoint?


A. 5kN
B. 8kN
C. 10 kN


Why can't I do sum of the forces for this problem?

2T-mg=0 to solve this problem

10000/2= 5000 N


correct Answer is B

 

[FeinMS]

At the location, the cable is not straight up because it's given in the question that the height is lowered by 100m. If you use 2T-mg=0, you're assuming the tension and weight is exactly 180 degrees apart. But in this case, it's not. Draw it out!

 

[Addallat]

ahhhhhh i got it, thank you
since it winds up making a 30-60-90 right triangle you can tell that the tension would be twice what it would be if the cables were linear

so 10,000 N ea. rope