Solving Tension on Cable Problem - Get the Answer Here

In summary, the problem asks for the tension in the cable supporting a 125-N sign attached to a lightweight pole at a 40-degree angle with the wall. Using the equations of equilibrium, the tension in the cable can be calculated by summing the forces in the x and y directions and solving for the unknown tension.
  • #1
fmorel90
1
0
Hi
I have a homework problem I can't understand:
A 125-N sign is supported by a lightweight pole and cable as shown in the diagram. What is the tension in the cable?

the diagram resembles |>
the | is a wall, the top of > is the cable and the bottom is the pole, and the sign hangs from point at the right.
The pole makes a 40 degree with the wall, and the cable is 50 degrees, so where the pole and cable meet is a right angle.

can anyone give a hint on how to solve that?
 
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  • #2
Writing down the equaions of equilibrium might help. Pardon me, must help.
 
  • #3
Step 1: Draw a Picture, label everything you know. Make assumptions. cable is tension, pole is compression.

Step 2: Sum the forces in x and y
Step 3: Solve equations.
 

1. How do I calculate tension on a cable?

To calculate tension on a cable, you need to know the weight of the object being supported by the cable, the angle of the cable, and the distance between the object and the point where the cable is attached. You can then use the formula T = (W / cosθ) * d, where T is the tension, W is the weight, θ is the angle, and d is the distance.

2. What is the importance of solving tension on a cable?

Solving tension on a cable is important because it ensures that the cable is able to support the weight of the object it is holding. If the tension is too low, the cable may break, causing potential damage or injury. If the tension is too high, it can put unnecessary stress on the cable and its supporting structure.

3. What factors can affect tension on a cable?

The tension on a cable can be affected by several factors, including the weight of the object being supported, the angle of the cable, and the distance between the object and the point where the cable is attached. Other factors such as wind or temperature can also affect tension.

4. How do I ensure the safety of a cable under tension?

To ensure the safety of a cable under tension, it is important to regularly inspect the cable and its supporting structure for any signs of wear or damage. It is also important to follow the manufacturer's recommended weight limits and to properly calculate and adjust tension as needed.

5. Can I use the same formula for calculating tension on all types of cables?

No, the formula for calculating tension on a cable may vary depending on the type of cable being used. For example, the formula for calculating tension on a wire rope may be different from the formula for calculating tension on a steel cable. It is important to use the correct formula for the specific type of cable being used.

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