Help with a tension problem.

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In summary, The conversation discusses finding the tension in two ropes holding a person who weighs 822 N at a 10 degree angle from the ceiling. The tension is found by using trigonometry and the sine of the angle multiplied by the tension is what keeps the person from falling. The final equation is (822/2)/cos(80).
  • #1
Hey, I'm new, obviously, but I need help with a question, and it should be incredibly simple, I know, I'm probably just overthinking or misunderstanding a concept.

alright, so a guy is hanging from a rope connected on both sides like \./ where the (.) is the guy. He is seen as a particle. The ropes both have an angle of 10 degrees. I need to find the tension in the ropes. the guy weights 822 N.

Please help!
 
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  • #2
Tension still eludes me so i wouldn't be surprised to make a blunder here,
but let me give you a little jump start, then show your work, and the cavalry will save the day.

Lets assume for starters that he is dangling from two separate vertical ropes:

what would the tension in each rope be? That seems easy: 822/2

Now just suppose that the two ropes are at 10 degrees off vertical. The tension then must be greater than the first case. Resolve the tension into x and y components--the x components cancel--a tug of war at a standstill. So only the vertical component of the tension carries the weight. This help at all?
 
  • #3
Yes, as far as understanding what is happening, I figured 822/2 as much, but I guess my problem is finding out how to combine the components to realize the tension on it at 10 degrees. oh yeah, and its 10 degrees from horizontal. that is, 10 degrees down from the ceiling.

Thanks!
 
  • #4
thats where trig helps.
In this case the sine of the angle times the tension is that actually keeping the guy from free fall. there are still two ropes.
 
  • #6
NM, I got it. . . It was (882/2)/cos(80)

Thanks a lot though!
 
  • #7
come back and spread the word,
(BTW cos80=sin10)
 

What is tension?

Tension is a force that occurs when an object is stretched or pulled. It is caused by the interaction of two or more objects and can be measured in units of newtons (N).

What are common causes of tension problems?

Tension problems can be caused by a variety of factors, such as high levels of stress, poor communication, conflicting goals, or unresolved conflicts. They can also arise from physical factors, such as overexertion or improper posture.

How can tension problems be solved?

There is no one-size-fits-all solution for tension problems, as each situation is unique. However, some strategies that can help include identifying the root cause of the tension, promoting open communication and collaboration, setting clear boundaries and expectations, and seeking outside help or mediation if needed.

What are the potential consequences of unresolved tension problems?

Unresolved tension problems can have negative impacts on individuals, teams, and organizations. These can include increased stress, decreased productivity and morale, damaged relationships, and even physical and mental health issues.

How can tension be managed and prevented?

Tension can be managed and prevented through various techniques, such as practicing stress management and mindfulness, setting realistic goals and expectations, fostering a positive and respectful work environment, and addressing conflicts and issues promptly and effectively.

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