Statics : Force on Equilibrium Problem

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SUMMARY

The discussion centers on calculating the minimum tension in a wire connecting three identical cylinders, each weighing 80.2 units, placed on a smooth horizontal surface. The problem requires the application of static equilibrium equations: \(\sum M_o = 0\), \(\sum F_x = 0\), and \(\sum F_y = 0\). The cylinders form an equilateral triangle with angles of 60 degrees, leading to a tension range of 20 < Tension < 30 as indicated by the professor. A focus on constructing a Free Body Diagram (FBD) is essential for solving the problem.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Ability to construct Free Body Diagrams (FBD)
  • Knowledge of forces acting on objects in equilibrium
  • Familiarity with trigonometric functions related to angles in triangles
NEXT STEPS
  • Study how to create Free Body Diagrams for multiple connected objects
  • Learn about static equilibrium conditions in physics
  • Explore tension calculations in systems of pulleys and connected masses
  • Review trigonometric principles applied to equilateral triangles
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Students in physics or engineering courses, particularly those focusing on statics, mechanics, or preparing for quizzes involving equilibrium problems.

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Homework Statement



Three (3) Identical Cylinders each weighing 80.2 were tied together by a wire and was placed on a smooth horizontal surface as shown determine minimum tension acting on the wire.

hint: the answer 20 < Tension < 30

Figure below:
[PLAIN]http://img13.imageshack.us/img13/3900/28405131073900490311234.jpg

Homework Equations



[tex]\sum[/tex]Mo = 0
[tex]\sum[/tex]Fx = 0
[tex]\sum[/tex]Fy = 0

The Attempt at a Solution



First I noticed that the 3 cylinders are were tied together so the distance from the Center of AB , AC , CB are equal and it forms an equilateral triangle so it forms an angle of 60degree
and after this i don't know how to do my FBD or what principle will i use to find the minimum tension acting on the system.
and my professor said that 20 < minimum tension < 30
help guys this problem can be the problem on my quiz later :(
 
Last edited by a moderator:
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What you need is the FBD. Try something and post it here. If you don't show your attempt, nobody will try to help.
You are on the right track with the angles. Now do the FBD
 

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