Finding tension of support cables

In summary, the conversation discusses a problem involving a 30 kg hanging mass in static equilibrium supported by three cables. The tension in the center of the vertical cable is given as 126 N and the angles of the other two cables are provided. The homework equations are unknown but the attempt at a solution uses trigonometric functions to calculate the tensions in the other two cables, resulting in values of 142.45 N and 179.62 N. A request for confirmation of correctness is made, along with a request for a free body diagram.
  • #1
ARJewell
6
0

Homework Statement


A 30 kg hanging mass is supported by three cables and is in static equilibrium. The tension in the center of the vertical cable is 126 N. A free body diagram is given with the one cable making an angle of 15 deg and another cable making an an angle of 40 deg. Determine the tension in the other two cables.


Homework Equations


I'm not sure.


The Attempt at a Solution



Tension of the first cable = mg/(sin theta1 + cos theta1 + tan theta2)
So t1=30kg*9.8m/s^2/(sin 15 + cos 15 + tan 40) = 142.45 N

Tension of the second cable = T1cos theta1/cos theta2
So t2=142.45Ncos15/cos40 = 179.62 N

Does this look correct?
 
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  • #2
Please show the free body diagram.
 

Related to Finding tension of support cables

1. What is the purpose of finding the tension of support cables?

The tension of support cables is crucial for ensuring the structural stability and safety of a building or structure. It helps determine the amount of force that the cables can hold and the level of stress they are under.

2. How is the tension of support cables calculated?

The tension of support cables is typically calculated using the formula T = F * L, where T is the tension in pounds, F is the force in pounds, and L is the length of the cable in feet. This formula takes into account the weight of the cable and the load it is supporting.

3. What factors can affect the tension of support cables?

Several factors can affect the tension of support cables, including the weight of the structure being supported, the wind and weather conditions, and the type and quality of the cable itself. It is important to regularly monitor and adjust the tension of support cables to account for these factors.

4. How do you measure the tension of support cables?

The most common way to measure the tension of support cables is by using a tension gauge. This device can be attached to the cable and will display the tension in pounds. It is important to use a calibrated tension gauge and follow proper measurement techniques for accurate results.

5. What are the potential dangers of incorrect tension in support cables?

If the tension of support cables is too low, it can lead to excessive movement and instability in the structure. On the other hand, if the tension is too high, it can put excessive stress on the cables and lead to their failure. In either case, incorrect tension can pose a serious safety hazard and cause damage to the structure.

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