question archive A 1100 kg steel beam is supported by two ropes What is the tension in rope 1?What is the tension in rope 2?
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A 1100 kg steel beam is supported by two ropes
What is the tension in rope 1?What is the tension in rope 2?.
20° 30Rope 2 Rope 1
net forcel along horizontal
T1*sin(20) = T2*sin(30)
T1 = 1.46*T2
net force along vertical
T1*cos(20) + T2*cos(30) = m*g = 1100*9.81 = 10791 N
1.46*T2*cos(20) + 0.866*T2 = 10791 N
T2 = 4821.82 N
T1 = 1.46*T2 = 1.46*4821.82 = 7039.85 N