Find Tension in CD with Input of y

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SUMMARY

The discussion centers on deriving a formula to calculate the tension in a rope (CD) when lifting a 60-lb 5-gallon bucket of paint using a pulley system. The system is analyzed under static equilibrium conditions as the bucket is raised from a height y, constrained within the range of 2 ft < y < 18 ft. Participants emphasize the need to incorporate the variable y into the tension equation, referencing specific images for visual aid, although access to these images is problematic.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with pulley systems and their mechanics
  • Basic knowledge of tension forces in physics
  • Ability to interpret and utilize mathematical equations in physics
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  • Develop a formula for tension in a pulley system involving variable height
  • Study the principles of static equilibrium in mechanical systems
  • Learn about the forces acting on objects in a pulley system
  • Investigate common issues with accessing and sharing visual aids in online discussions
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Students in physics, engineering majors, and anyone involved in mechanics or static systems who seeks to understand tension calculations in pulley systems.

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I have to create a formula where one would just need to input y to get the tension from CD.

1. Homework Statement
A worker plans to lift a 60-lb 5 gallon bucket of paint by tying a rope to the scaffold a A and then passing the rope through the bail of the bucket at B and finally over the pulley at C. Please analyze the system assuming that the bucket is held in static equilibrium as it is raised slowly from a height y for 2 ft< y <18 ft.

Homework Equations


See photos

The Attempt at a Solution


I know on the second picture I'm supposed to put y in the equation but I was just getting an idea how to set up.
Pic 1:https://s3.amazonaws.com/pushbullet-uploads/ujAxMpHzyfc-Xe1u0whgga5v3LatKi9H4MfiCL5at7vG/20140930_204335.jpg

Pic 2: https://s3.amazonaws.com/pushbullet-uploads/ujAxMpHzyfc-EIidEB3UI1JOsHJm5cHw16CyWZaKF533/20140930_203509.jpg
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
pHysicsN0OB said:
I have to create a formula where one would just need to input y to get the tension from CD.

1. Homework Statement
A worker plans to lift a 60-lb 5 gallon bucket of paint by tying a rope to the scaffold a A and then passing the rope through the bail of the bucket at B and finally over the pulley at C. Please analyze the system assuming that the bucket is held in static equilibrium as it is raised slowly from a height y for 2 ft< y <18 ft.

Homework Equations


See photos

The Attempt at a Solution


I know on the second picture I'm supposed to put y in the equation but I was just getting an idea how to set up.
Pic 1:https://s3.amazonaws.com/pushbullet-uploads/ujAxMpHzyfc-Xe1u0whgga5v3LatKi9H4MfiCL5at7vG/20140930_204335.jpg

Pic 2: https://s3.amazonaws.com/pushbullet-uploads/ujAxMpHzyfc-EIidEB3UI1JOsHJm5cHw16CyWZaKF533/20140930_203509.jpg

There's some sort of problem with accessing and viewing these pictures when the links are clicked.
 

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