Maximum Force Analysis for FB and FC Limits in a Tension System

In summary, the maximum tension that FB and FC can undergo are 5kN and 5.5kN respectively. To determine the maximum force of FA that can be reached without exceeding these limits, you can calculate the components of FB and use them to solve for the difference between FB and FC, which will give the maximum force of FA. However, since FC has no vertical component, the maximum limit for FA and FB will both be 5kN.
  • #1
Ry122
565
2
The maximum tensions that FB and FC can undergo are 5kN and 5.5kN respectively.
Determine the maximum force of FA that can be reached without exceeding these limits.
http://users.on.net/~rohanlal/Q1.jpg [Broken]

This is all i have so far
0 = -FA + FBsin40
What's the next step?
 
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  • #2
Calculate the components of F_B. Use this to solve for the difference between F_B and F_C to calculate F_A.
 
  • #3
wouldnt u just calculate the x component since FC has no y component?
 
Last edited:
  • #4
Is this answer correct:
5sin40=3.2139kN
To determine tension in FC
5cos40=3.830kN
3.830kN does not exceed the maximum limit for FC therefore the maximum force of FA is 3.2139kN.
 
  • #5
You already have the tension in F_C. The rope, F_A, is not straight down. The sum of the forces in the x-direction must be zero, and the sum of the forces in the y-direction must be zero.
 
  • #6
5.5kN is not the tension in FC it is the maximum limit.
 
  • #7
It is the maximum limit of the tension in F_C and you want to find the maximum limit of the tension in F_A.
 
  • #8
But if FC was to have a tension of 5.5kN that would put greater tension on FB. Therefore you would have to lower FB's y component to compensate for the increase of the x component to not let the tension in FB exceed the max limit.
 
  • #9
I think in this case Fc does not have vertical component, so we need not to care about it. the diagram try to fool us i think. so FA(max)=FB(max)=5kN.
 

1. What is the concept of maximum force?

The concept of maximum force refers to the maximum amount of force that can be exerted by an object or system. It is the greatest force that can be applied without causing damage or failure.

2. How is maximum force calculated?

Maximum force can be calculated by using the formula F = m x a, where F is force, m is mass, and a is acceleration. This formula is derived from Newton's second law of motion, which states that force is equal to mass times acceleration.

3. What factors affect maximum force?

The maximum force that an object or system can exert is affected by various factors such as the object's mass, its acceleration, the surface it is being applied to, and external forces acting upon it. It can also be influenced by factors such as temperature, pressure, and material strength.

4. How can maximum force be measured?

Maximum force can be measured using various instruments such as force gauges, load cells, and dynamometers. These devices can accurately measure the amount of force being exerted and provide numerical readings.

5. Why is determining maximum force important?

Determining maximum force is important for understanding the limitations and capabilities of objects and systems. It is crucial in various fields such as engineering, physics, and sports, where knowing the maximum force that can be applied is essential for ensuring safety and optimal performance.

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