How Do You Calculate the Tension in Cables Supporting a Suspended Loudspeaker?

  • Thread starter Thread starter Allura
  • Start date Start date
  • Tags Tags
    Cables Tension
Click For Summary

Homework Help Overview

The problem involves calculating the tension in cables supporting a suspended loudspeaker, with a focus on the forces acting on the system and the geometry of the setup. The subject area includes concepts from mechanics and forces in equilibrium.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss finding the angle of the cables using trigonometric functions and consider the relationship between the tension in the cables and the weight of the loudspeaker. There is uncertainty about the correct application of sine and cosine functions in this context.

Discussion Status

The discussion is ongoing, with participants exploring different methods to approach the problem. Some guidance has been offered regarding the need to determine the angle of the cables, but there is no explicit consensus on the best method to proceed.

Contextual Notes

Participants are working under the assumption that the loudspeaker is in static equilibrium, and there is a focus on the geometry of the cables and the forces involved. The problem does not specify the angles or any additional constraints beyond the given measurements.

Allura
Messages
23
Reaction score
0

Homework Statement



A 26.0 kg loudspeaker is suspended 1.9 m below the ceiling by two 3.0-m long cables that angle outward at equal angles. What is the tension (in N) in the cables? Assume that the local acceleration due to gravity is 9.80 m/s2.

I'm not sure how to approach this problem. I was thinking I would find the angle using cos -1 (1.9/3) and then using the angle to find T1?
 
Physics news on Phys.org
mg/2 sin theta = T
What 1 angle = the other =.

Try that
 
Ok so I got 9.8x26kg/2 = 127.4 and do you mean sin-1(127.4)?
 
You need to find the angle of between the rope and the top of the building or w/e it's suspended on.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
6K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 9 ·
Replies
9
Views
3K
Replies
2
Views
6K
Replies
8
Views
1K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 6 ·
Replies
6
Views
10K
Replies
2
Views
2K
Replies
19
Views
2K