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Tension in wires tied together

  1. Jun 30, 2010 #1
    1. The problem statement, all variables and given/known data

    2 cables are tied together at C as shown. Determine the tension in AC and BC.
    (ans: 120.1N, 156.3N)

    tutorial2_7.jpg

    2. Relevant equations



    3. The attempt at a solution

    tan-1 4/5 = 38.66
    tan-1 4/3 = 53.13

    100/tan 38.66 = ACx
    ACx = 124.99

    AC = sqrt(124.99^2 + 100^2)
    AC = 160 (wrong)
     
  2. jcsd
  3. Jun 30, 2010 #2

    rl.bhat

    User Avatar
    Homework Helper

    If T1 is the tension in AC and T2 that of BC, then x-components of T1 and T2 cancel each other. Hence

    T1*cos(38.66) = T2*cos(53.13) .......(1)

    Similarly y-components of tensions add up to 200 N.

    Solve the two equations and find T1.
     
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