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

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To calculate the tension in the cables supporting a 26.0 kg loudspeaker, first determine the angle of the cables using the cosine function: cos(θ) = 1.9 m / 3.0 m. Once the angle is found, apply the formula T = (mg) / (2 sin(θ)), where m is the mass and g is the acceleration due to gravity. The tension in each cable can then be calculated by substituting the values into the equation. This approach ensures that the forces acting on the loudspeaker are balanced.
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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?
 
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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.
 

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