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Homework answers / question archive / A 1400 kg steel beam is supported by two ropes
A 1400 kg steel beam is supported by two ropes.
What is Tension in Rope 1 and what is Tension in Rope 2
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