Concept explainers
A heavy chandelier with mass 125 kg is hung by chains in equilibrium from the ceiling of a concert hall as shown in Figure P5.77, with θ1 = 37.0° and θ 2 = 64.0°. Assuming the chains are massless, what are the tensions FT1, FT2, and FT3 in the three chains?
FIGURE P5.77
Find the values of tensions
Answer to Problem 77PQ
The values of tensions
Explanation of Solution
The free body diagram is given below.
Applying Newton’s laws.
Here,
Here,
Rewrite the equation I to find
Since the chandelier is at equilibrium then the gravitational force is the tension force.
Here,
Substitute equation III in equation II.
Conclusion:
Substitute
Substitute
Substitute
Therefore, the values of tensions
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Chapter 5 Solutions
Physics for Scientists and Engineers: Foundations and Connections, Advance Edition, Volume 2
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