A 900 kg steel beam is supported by the two ropes shown in (Figure 1) . Calculate the tension in the rope.

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26-10-2016
Physics

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A 900 kg steel beam is supported by the two ropes shown in (Figure 1) . Calculate the tension in the rope.

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Аноним Аноним · Answer 1 · 2016-11-04T10:25:27+01:00

let T1 and T2 be tension in ropes1 and 2 respectively.
since system is stationary (equilibrium), considering both ropes + beam as a system

for horizontal equilibrium (no movement in that direction, so resultant force must be zero horizontally)
T1sin(20) = T2sin(30)
=> T1 = T2sin(30) / sin(20)

for vertical equilibrium, (no movement in this direction, so resultant force must be zero vertically)
T1cos(20) + T2cos(30) = mg

m = 900kg, substituting for T1
T2sin(30)*cos(20)/sin(20) + T2cos(30) = 900g
2.328*T2 = 900*9.8
T2 = 3788.65N
so T1 from (1)
T1 = 5535.21N