Math  /  Trigonometry

Question43. (II) A 27kg27-\mathrm{kg} chandelier hangs from a ceiling on a vertical 3.4-m-long wire. (a) What horizontal force would be necessary to displace its position 0.15 m to one side? (b) What will be the tension in the wire?

Studdy Solution
Determine the tension in the wire:
- Use the approximation Tmg T \approx mg since cosθ1 \cos \theta \approx 1 .
T=27×9.8 T = 27 \times 9.8
- Calculate T T .
The horizontal force required is approximately:
Fh11.6N F_h \approx 11.6 \, \text{N}
The tension in the wire is approximately:
T264.6N T \approx 264.6 \, \text{N}

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