What is the Tension in 2 Strings with a 119N Mass and Given Angles?

In summary, a 119N mass hanging from two strings with angles of 77.0° and 26.0° is causing confusion for the student trying to find the tension in both strings. They have drawn a diagram and attempted to resolve the vectors into components, but are unsure of what to do next. They have also used the equation Fnet=ma and referenced a website for help.
  • #1
swede5670
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Homework Statement


A 119 mass hangs from two string Calculate the tension in both strings. Let θ1 = 77.0° and θ2 = 26.0 degrees


Homework Equations


Fnet=ma


The Attempt at a Solution


This is the last question of my homework packet (so its the most challenging) and I have no clue how to solve it or where to begin. I'd appreciate any and all help.
 
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  • #2
Have you drawn a diagram?
 
  • #3
Yes I have, basically two strings hanging from a ceiling of sorts, with the weight hanging to the right. The angle in the left corner is 77 degrees and the one on the right is 26 degrees.
 
  • #4
Do you know how to resolve vectors into their components?
 
  • #5
Im not sure how to do anything after I have diagrammed the situation out. Please help! This is due tomorrow.
 
  • #6
I broke the free body diagram down into two portions and now I'm trying to solve for θ1 = 26 degrees. I need to find the Upwards component and the sideways component. I created a triangle with T1 (tension 1) as my hypotenuse and then for the sideways component I have cosine(26)*T1 = adjacent and then sine(26)*T1 = Opposite

cosine(26)*T1 = adjacent

I just have no idea what I need to do in order to find the adjacent value so that I can solve for T1 in the vector.
Since I have an object with a mass of 119N (I actually don't know if the object is in kg or N because my teacher decided not to include that piece of vital information) I can assume that the strings must be exerting a total of 119N up right? The Object isn't accelerating. So can I use this value as the opposite portion of the triangle?

I said that since gravity is pulling down with 119N on the system then I can use that value for upwards component of my tension. Then to find the sideways component I took 119 x tan(26) = 140.27N for my adjacent and then to find the hypotenuse I used cosine. 140.27/cosine(26) = X and then the value I got was 216.83N. This is wrong however and once again I don't know what happened.
 
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  • #7
I just have no idea what I need to do in order to find the adjacent value so that I can solve for T1 in the vector
You don't need to directly find the "adjacent" value. You need to find the components of each tension and then sum them up in the x and y directions. So you should have two horizontal forces in one equation and then three vertical forces in another equation.
I said that since gravity is pulling down with 119N on the system then I can use that value for upwards component of my tension. Then to find the sideways component I took 119 x tan(26) = 140.27N for my adjacent and then to find the hypotenuse I used cosine. 140.27/cosine(26) = X and then the value I got was 216.83N. This is wrong however and once again I don't know what happened.
I'm not sure what you've done here.

This site might help: http://hyperphysics.phy-astr.gsu.edu/hbase/fcab.html
 

FAQ: What is the Tension in 2 Strings with a 119N Mass and Given Angles?

What is tension in a string?

Tension in a string is the force applied on the string that causes it to become stretched or pulled taut. It is the equal and opposite reaction to the force applied on the string.

How is tension measured in a string?

Tension in a string is measured in units of force, such as newtons (N) or pounds (lbs). It can be measured using a spring scale or a tension meter.

What factors affect tension in a string?

The tension in a string is affected by the force applied on the string, the length of the string, and the material and thickness of the string. The type of knot used to secure the string can also affect its tension.

Can tension be different in two strings connected to the same object?

Yes, the tension can be different in two strings connected to the same object if the strings have different lengths, thicknesses, or are made of different materials. The angle at which the strings are pulled can also affect their tension.

Why is it important to calculate tension in strings?

Calculating tension in strings is important in various scientific fields, such as engineering, physics, and chemistry. It allows for the analysis and understanding of the forces acting on objects and structures, as well as the prediction of their behavior and performance.

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