Determine the tension in cable BC and the reactions at A.

In summary, the problem is to determine the tension in cable BC and the reactions at A for a 400N weight acting at the midpoint of member AB, which has a length of 3m. The equations that may be used are the sum of all forces equaling 0 and simple force equations, and the concept of moment may also need to be considered. The reactions at A are expected to consist of a vertical force pointing upwards and a force pushing right at point A.
  • #1
Liondancer
8
0

Homework Statement


The 400N weight of member AB acts at its midpoint. The length of member AB is 3m. Determine the tension in cable BC and the reactions at A.


Homework Equations


m=rxf? maybe
simple force equations

The Attempt at a Solution


Not sure whether to use sum of all forces to equal 0 or to add the concept of moment into this problem.
 

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  • #2
Also for the reactions at A, according to my textbook, it looks like a triangle with a pin on it so I am assuming reactions at A would only have a vertical force (pointing up; normal) and also and force coming from the left, pushing right at point A.
 

1. What is the purpose of determining the tension in cable BC and the reactions at A?

The purpose of determining the tension in cable BC and the reactions at A is to understand the forces acting on a structure or object. This information is important for designing and building safe and stable structures, as well as for analyzing the performance and integrity of existing structures.

2. How is the tension in cable BC and the reactions at A calculated?

The tension in cable BC and the reactions at A are calculated using the principles of statics and equilibrium. This involves summing up all the forces acting on the structure or object and setting them equal to zero to determine the unknown forces.

3. What factors can affect the tension in cable BC and the reactions at A?

The tension in cable BC and the reactions at A can be affected by various factors including the weight and geometry of the structure, the material properties of the cables and supports, and any external loads or forces applied to the structure.

4. How does the angle of cable BC affect the tension in the cable and the reactions at A?

The angle of cable BC can affect the tension in the cable and the reactions at A because it changes the direction and magnitude of the force being applied to the structure. A larger angle will result in a higher tension in cable BC and a larger reaction at point A.

5. What are the implications of not accurately determining the tension in cable BC and the reactions at A?

Not accurately determining the tension in cable BC and the reactions at A can lead to structural instability, failure, and potential safety hazards. It is important to carefully calculate and consider these forces to ensure the design and construction of a safe and stable structure.

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