How does the circle method help with leverage problems?

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Discussion Overview

The discussion revolves around the application of the circle method in solving leverage problems related to a specific machine. Participants explore the calculations of output force and the effects of lever rotation on mechanical advantage.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant, Ted, proposes a calculation for output force based on given values, suggesting an approximate output of 1.5 tons.
  • Another participant questions the clarity of Ted's mathematical expression, indicating a preference for using brackets to avoid ambiguity in the calculation.
  • A third participant acknowledges the progress made in analysis and appreciates the use of a schematic for clarity, agreeing with the previous calculations.
  • Brett expresses gratitude for the feedback and mentions the usefulness of the circle method in enhancing clarity in their analysis.
  • Participants discuss the implications of lever rotation on the mechanical advantage, noting that it may vary as the lever moves.

Areas of Agreement / Disagreement

There appears to be general agreement on the calculations presented, but there is no consensus on the best way to express the mathematical relationships clearly. The discussion on the effects of lever rotation on mechanical advantage remains open-ended.

Contextual Notes

Some assumptions regarding the definitions of forces and mechanical advantage are not explicitly stated, and the mathematical steps involved in the calculations may require further clarification.

Who May Find This Useful

Individuals interested in mechanical engineering, physics of machines, or those working on leverage problems may find this discussion beneficial.

Ted Farkas
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Hi,

This is another machine we have, with all the info I have received thus far regarding leverage.

Would I be correct in saying the output force is 177/574 x 5.1 ton giving aprrox 1.5 ton (F2).

The red rotates anti clockwise at the pivoit - this I would assume becomes harder because the pnuematic ram described as force F! compresses and rotates increasing the leverage slightly as R177 gets slighly bigger & cylinder volume compresses further.

thanks
Ted
 

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looks ok to me. I'd prefer brackets to show whether you meant 177/(574 x 5.1 ) or (177/574) x 5.1, but I get the same answer as you, so you must have done the latter.

You are also right to think about the changes as the lever rotates, moving the point of application and direction of the forces. The mechanical advantage could well vary as a result.
 
You are making progress in your analyses; now that you are using a rudimentary schematic rather than a full assembly for your analyses. It also makes it much easier for forum members to evaluate your result. All of the above appears correct to me.
 
Hi

Thanks guys for your responses. It's giving everything a lot more clarity. Yep I probably need to put my equations in excepted format as well to tidy things up.

Thanks
Brett
The circle method has really been a great help (cad makes if super easy)
 

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