How Do I Calculate the Pulley Ratio for a Complex Boat Pulley System?

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Discussion Overview

The discussion revolves around calculating the pulley ratio for a complex boat pulley system, with participants exploring the necessary information and methods for determining this ratio. The scope includes technical reasoning and potential applications related to machine design.

Discussion Character

  • Technical explanation, Exploratory, Debate/contested

Main Points Raised

  • One participant inquires about the need for additional information such as rope lengths, pulley diameters, or load to calculate the pulley ratio.
  • Another participant asserts that no additional information beyond the provided drawing is necessary for the calculation.
  • A participant suggests breaking the pulley system into sections and summing the tensions to determine the ratio, proposing a specific ratio of 9T:1T but seeks verification of this approach.
  • Another participant requests confirmation of the proposed answer, indicating uncertainty about its accuracy.
  • A later reply emphasizes the importance of checking that the sum of forces is equal to zero in both the X and Y directions and that the tension in any given rope remains constant for static equilibrium.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints regarding the necessary information for calculating the pulley ratio and the methods to verify the calculations. No consensus is reached on the accuracy of the proposed ratio or the sufficiency of the information provided.

Contextual Notes

Participants have not established the conditions under which the pulley system operates, such as whether it is in static equilibrium, and there are unresolved aspects regarding the calculations and assumptions involved.

Darknes51986
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A guy at work gave me this drawing I have attached and asked me to find the pulley ratio. Do I need any other information such as rope lengths, pulley diameters, or load? I traded in my machine design book and don't remember exactly how to calculate the ratio. Is there anything else I can calculate involving the load that would be helpful if I knew the weight of the boat. Thanks for any info.
 

Attachments

  • pulley.JPG
    pulley.JPG
    34.6 KB · Views: 861
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Nope, you don't need anything other than what is in the picture.
 
So what I do is break up the pulley into sections and add up the tensions (T) right? With the tensions from each section I can get the ratio? Is this correct? I re-drew the drawing with my work on it. 9T:1T is my answer I just need someone to check that.
 

Attachments

  • pulley2.JPG
    pulley2.JPG
    40 KB · Views: 575
Can anyone confirm my answer or is it off?
 
Check to verify the sum of the forces is equal to zero in both the X and Y directions. Also verify the tension in any given rope is constant. If both of these are good, then the system is in static equilibrium.
 

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