Let’s consider the case together: “A 1300 kg steel beam is supported by two ropes.”

Question: A 1300 kg steel beam is supported by two ropes.

Which rope has the greatest tension? What is the tension in rope 1? rope 2?

A 1300 kg steel beam is supported by two ropes. What is the tension in rope 1 and rope 2?

Guidance:

Step 1: Weight = 1300 *9.8 = 12740N

Step 2: The beam’s weight is equal to its vertical component. The magnitude of the horizontal components of both tension forces is equal.

Step 3: Substitute and perform calculations

Answer

T1= 8315.6 N

T2= 5688 N

Use equilibrium of forces in the vertical direction:

Replace into the formula: for T1:

For T2:

Conclusion

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