Statics problem. Cable with distributed load

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SUMMARY

The discussion revolves around solving a statics problem involving a cable with a distributed load. The primary equation referenced is T = √((T_o)² + (wy)²), which relates tension and weight distribution. Participants suggest using a free body diagram to analyze the forces acting on the cable, emphasizing the importance of equilibrium among the forces. The conversation highlights the need for additional information regarding the cable's self-weight to fully resolve the problem.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with free body diagrams
  • Knowledge of tension in cables and distributed loads
  • Basic proficiency in trigonometric functions for angle calculations
NEXT STEPS
  • Study the derivation of tension equations in cable systems
  • Learn how to construct and analyze free body diagrams
  • Research graphical methods for solving equilibrium problems
  • Explore the effects of distributed loads on cable tension
USEFUL FOR

Students studying statics, engineering professionals dealing with cable systems, and anyone interested in understanding the mechanics of forces in equilibrium.

ThewyBenner
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20161101_101911.jpg

Homework Statement


can someone please help and explain to me how to do this problem? all the data is in the picture above.

Homework Equations


i am not entirely sure which equations i should use. i know one possible equation is T=((T_o)^(2)+(wy)^(2))^(1/2)

The Attempt at a Solution


with the one equation that i know, i can say that point 1 is not the bottom of the parabola.
past that i need help
Any help would be appreciated
i have been stuck for about a day and a half and just don't know where to start.

Thank you so much
 
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I haven't tried to solve it all (not sure I can) but try drawing a free body diagram for the rope showing the horizontal forces. I think it's possible to work out the angle the rope makes at the bottom if that helps.
 
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You know the forces at the ends of the cable. You know those forces are tangential to the cable ends. You know the drag. That makes 3 forces. If they are in equilibrium they must all meet at one point. You don't have enough information about the cable self-weight to take account of that. Can you do it graphically with a triangle of forces?
 
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thanks both of you for the help. my proffessor just walked through the derivation today in class. . . I don't know why he assiNed the problem so early. . .
thanks again
 

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