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?

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

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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