Cable Tension for a Hanging Weight
Mediumequilibriumcables
A 100 N weight hangs from a ring supported by two cables. Each cable makes 30° with the horizontal, symmetric about the vertical. What is the tension in each cable?
- A100 N
- B50 N
- C86.6 N
- D57.7 N
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Answer: A. 100 N
ΣFy = 0 at the ring: 2 · T · sin 30° = 100 → 2 · T · 0.5 = 100 → T = 100 N. Shallow cables carry more than the load they hold: at 30° each cable's tension equals the full weight. 50 N drops the sine; 86.6 N uses cosine.
N
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