Min Length of AC to Maintain Tension in Triangle: 4000N

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SUMMARY

The discussion centers on determining the minimum length of rope AC in a triangle configuration, ensuring that the tension in either AB or AC does not exceed 4000N, given that the tension in the tow rope is 3000N. Participants utilize Newton's second law and vector resolution to derive equations for the forces acting on the triangle. The final calculations reveal that the angle theta is approximately 16.1 degrees, which is critical for calculating the required length of AC.

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  • Understanding of Newton's second law of motion
  • Basic knowledge of trigonometry, specifically sine and cosine functions
  • Familiarity with vector resolution in physics
  • Ability to set up and solve equations involving multiple variables
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  • Learn how to apply Newton's laws to static equilibrium problems
  • Explore trigonometric identities and their applications in force analysis
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Students and professionals in physics, engineering, and mechanics who are involved in analyzing forces in static systems, particularly those dealing with tension in ropes and cables.

  • #31
gozita73 said:
Fac = 4000N ?

Yes, since that is the maxium force it can have per the problem statement.

CS
 
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  • #32
cool thanks so much...
theta turns out to be around 16.1 degrees

doing the rest should be no problem for me

thanks again
 
  • #33
gozita73 said:
cool thanks so much...
theta turns out to be around 16.1 degrees

doing the rest should be no problem for me

thanks again

Good job.

CS
 

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