Mechanical leverage to increase length?

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Discussion Overview

The discussion revolves around the challenge of increasing the length of movement in a rope system while maintaining the same force. Participants explore various mechanical solutions and their implications, focusing on concepts of energy conservation and efficiency in mechanical systems.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks to amplify the movement of a rope without increasing the force, having tried gears with limited success.
  • Another participant asserts that achieving such amplification without increasing force would violate conservation of energy.
  • It is noted that energy expended is proportional to the distance moved multiplied by the force applied, suggesting that a mechanical system could theoretically provide twice the force over half the distance.
  • Further inquiries are made about alternatives to gears and levers that minimize friction and energy loss.
  • Suggestions include using a bicycle chain over a movable sprocket, an endless chain, or a differential pulley, as well as fluid-coupled hydraulic cylinders with varying cross-sections to set the ratio.
  • One participant expresses that they have tried the suggested methods but encountered issues with excessive friction and energy loss.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are competing views on the feasibility of achieving the desired amplification without increasing force, and the discussion remains unresolved regarding effective solutions.

Contextual Notes

Participants mention limitations related to friction and energy loss in mechanical systems, which may affect the practicality of proposed solutions.

manp
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Hi

Im trying to increase the length of a movement of a rope so when one rope is pulled the other rope movement is increased x 2 (it is attached across). So far i have tried gears whice has somewhat worked but it increases the force as well. Is there any other way to achieve this amplification with the same force?
 
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manp said:
Hi

Im trying to increase the length of a movement of a rope so when one rope is pulled the other rope movement is increased x 2 (it is attached across). So far i have tried gears whice has somewhat worked but it increases the force as well. Is there any other way to achieve this amplification with the same force?
Sorry, no, that would violate conservation of energy.
 
The energy expended will be proportional to the distance moved, multiplied by the force applied.
Conservation of energy requires that the force * distance product remain equal for the input and output.
Twice the force over half the distance is a possible solution using a mechanical system.
 
Thanks for the replies...i thought there'd be np solutions. Is there any other way except gears, levers? With minimal friction, energy loss?
 
Baluncore said:
A bicycle chain over a movable sprocket, or an endless chain, differential pulley.
http://en.wikipedia.org/wiki/Differential_pulley

Fluid coupled hydraulic cylinders, with different cross section cylinders to set the ratio.

Thanks for the ideas, I've tried all of them
but there's too much friction and energy loss I am creating.
 

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