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The following problem is an example of one of the problem types randomly selected at Newton's First Law & Equilibrium

A light hangs from two cables. One cable has a tension of 25.55 N and is at an angle of 7.5o with respect to the ceiling. What is the tension in the other cable if it makes an angle of 20.2o with respect to the ceiling?

Suggestions / Method Hints:

  • start with a free-body diagram for the light
  • from horizontal equilibrium, the horizontal component of the tension in the second cable must equal that in the first
  • from the horizontal component of tension and the angle of the cable, find the magnitude of the tension

Answer: 27.0 N

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