Three String Tension Problem - 3 Dimensional

In summary, the problem involves a 5kg mass suspended by three strings inside a cylinder. The first string is 4m long and attached 2m above the mass, the second string is 1.5m long and attached 1m above the mass at a 115 degree angle from the first string, and the third string is 2m long and attached 1.25m above the mass at a 220 degree angle from the first string. The goal is to find the tensions in each string, represented by T1, T2, and T3. Equations were attempted, but their accuracy is uncertain without showing the calculations.
  • #1
musicisluvxo
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Three String Tension Problem --- 3 Dimensional

Homework Statement



A 5kg mass is suspended by three strings. The mass and strings are placed inside a cylinder. The strings are attached to the wall of the cylinder.

String 1 is 4m long and is attached to the wall 2m above the mass.

String 2 is 1.5m and is attached to the wall 1m above the mass. String 2 is attached 115degrees around from string 1.

String 3 is 2m long and is attached to the wall 1.25 m above the mass. String 3 is rotated 220 degrees from string 1.

Find T1, T2, and T3

Homework Equations



f=ma?

The Attempt at a Solution



I figured out 3 equations... and i think they are all wrong
 
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  • #2


Maybe you are right... how can someone tell if you don't show them?
 

1. What is the Three String Tension Problem - 3 Dimensional?

The Three String Tension Problem - 3 Dimensional is a mathematical problem that involves calculating the tension forces in a three-dimensional system of strings. It is commonly used in engineering and physics to determine the stability and strength of structures such as bridges and buildings.

2. How is the Three String Tension Problem - 3 Dimensional solved?

The Three String Tension Problem - 3 Dimensional is solved using principles of statics and vector analysis. The equations used to solve the problem take into account the angles and lengths of the strings, as well as the external forces acting on the system.

3. What factors affect the tension in the strings in the Three String Tension Problem - 3 Dimensional?

The tension in the strings is affected by the angles and lengths of the strings, as well as the external forces acting on the system. Additionally, the material properties of the strings, such as their elasticity and strength, can also impact the tension.

4. How is the Three String Tension Problem - 3 Dimensional used in real-life applications?

The Three String Tension Problem - 3 Dimensional is used in various real-life applications, such as designing and constructing bridges, cranes, and other structures. It is also used in the field of biomechanics to analyze the forces acting on joints and muscles in the human body.

5. What are some challenges in solving the Three String Tension Problem - 3 Dimensional?

Solving the Three String Tension Problem - 3 Dimensional can be challenging due to the complexity of the equations involved and the need for precise measurements of angles and lengths. Additionally, the presence of external forces, such as wind or weight, can make the problem more difficult to solve accurately.

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