Calculating Tension in a Suspended Loudspeaker

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SUMMARY

The discussion focuses on calculating the tension in cables supporting a 15.0 kg loudspeaker suspended 1.20 meters below the ceiling using two 3.50-meter cables. Participants emphasize the importance of creating a free-body diagram to visualize the forces acting on the speaker, which is assumed to be in a state of equilibrium. By applying principles of geometry and trigonometry, users can determine the tension in each cable effectively.

PREREQUISITES
  • Understanding of free-body diagrams
  • Basic knowledge of equilibrium in physics
  • Familiarity with geometry and trigonometry
  • Ability to interpret physical units (kg and meters)
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  • Study the principles of static equilibrium in physics
  • Learn how to construct and analyze free-body diagrams
  • Explore tension calculations in various physical scenarios
  • Review trigonometric functions and their applications in physics
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of suspended objects and tension calculations in real-world applications.

dsb_101
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A 15.0 loudspeaker is suspended 1.20 below the ceiling by two 3.50 long cables that angle outward at equal angles. what is the tension in each cable?
im really weak at this topic..
cud any1 give me a lift off here? :frown:
 
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I presume that's a 15.0 kg speaker, and the distanced you give are in meters? The units are important.

Anyway - do a free-body diagram of the speaker. That'll give you the vectors you need to add. We'll assume that the speaker is not accelerating (since otherwise the cables have probably broken), so what can you say about the net force on it? That'll give you the vector sum of the forces in your diagram, and from that point on it's just geometry and trigonometry.

Does that help?
 
it sure did..ty
 

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