A 1400 kg steel beam is supported by two ropes

Physics Jan 16, 2021

A 1400 kg steel beam is supported by two ropes.

What is Tension in Rope 1 and what is Tension in Rope 2

Expert Solution

Along the x - direction:
        T1 sin20 = T2 sin30
        0.342 T1 = 0.5T2
==> T1 / T2 = 0.5 / 0.342
              T1 = 1.461T2      ........1
Along the vertical direction
        T1cos20 + T2 cos30 =mg
   ==> 0.939T1 + 0.866T2 = 13720  .....2
Substituting 1 in 2 we get
          1.3718T2 +0.866T2 = 13720
             2.237 T2 = 13720
                       ∴ T2 = 6133.2 N
                      and T1 = 8960.2 N

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