What is the Correct Method for Calculating Tension in Equilibrium?

In summary, the conversation is about a person struggling with a task and seeking help from others. They explain their method and calculations, but others point out errors and provide corrections. The final answer is determined to be 438N, slightly different from the original estimate of 441N. The person is grateful for the help and apologizes for their initial presentation of the problem.
  • #1
blubbulf
4
0
I don't manage to get this task right. See the pictures. First i take point D and draw a free body diagram. Then i use the equation for equilibrium. I can then calculate the tension in the wires that goes from D to B and from D to C. I then take point B and draw a free body diagram, but all the answers i get is wrong. Can somebody please see what i have done wrong?
 

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  • #2
Method looks ok. Check your working at the bottom of image Task1.jpg. The third line up looks ok. Last two look wrong.

I got...

TDB (1.11) = 490
so
TDB = 441N
 
  • #3
Thanks for your reply, and sorry for just putting up pictures. My first time, so i will try to put things together a little nicer. I don't see how to solve that equation. I move 490.5 to the right, divide that with (cos45/cos30)(*sin30) so i stand with TDB+TDB sin45. divide with sin 45 and at last i divide with 2, beacuse TDB+TDB=2TDB. But apparently somewhere this got terribly wrong, and i don't se where.
 
  • #4
Ah, now i see what you did, but want you get 2TDB when you add them together?
 
  • #5
Here is my working starting with your equation...

TDB*cos45*sin30/cos30 + TDB*SIN45 - 490.5 = 0

Take TDB outside brackets..

TDB*(cos45*sin30/cos30 + SIN45) - 490.5 = 0

Rearrange..
TDB = 490.5/(cos45*sin30/cos30 + SIN45)

Substitute values..
= 490.5/(0.707*0.5/0.866 + 0.707)
= 490.5/(1.12)
= 438N
Not quite the 441N I got earlier.
 
  • #6
Thank you so much!
 

FAQ: What is the Correct Method for Calculating Tension in Equilibrium?

What is tension in a wire?

Tension is a force that is experienced by a wire or any other material that is being pulled or stretched. In the case of a wire, it is the force that is acting on the wire in order to keep it in a state of equilibrium.

What factors affect the tension in a wire?

The tension in a wire is affected by several factors, including the material of the wire, its diameter, the length of the wire, and the force or weight applied to it. The type of support or attachment points of the wire also play a role in determining its tension.

How is tension in a wire calculated?

The tension in a wire can be calculated using the formula T = F * L, where T is the tension, F is the force applied to the wire, and L is the length of the wire. This formula assumes that the wire is in a state of equilibrium and is not moving.

What is the concept of equilibrium in relation to tension in a wire?

In the context of tension in a wire, equilibrium refers to a state in which the forces acting on the wire are balanced, resulting in a stable and stationary wire. This means that the tension in the wire is equal to the force or weight pulling on it.

How can tension in a wire be adjusted?

The tension in a wire can be adjusted by changing the force or weight applied to it, or by changing the length or support points of the wire. For example, increasing the force pulling on the wire will result in a higher tension, while decreasing the length of the wire will also increase the tension.

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