Working out The law of the machine

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SUMMARY

The discussion focuses on determining the Law of the Machine for a pulley system, specifically how to derive the relevant equation from experimental data. Key concepts discussed include Mechanical Advantage (MA), Velocity Ratio (VR), and efficiency (η). Participants seek clarity on the formula that incorporates these elements and the additional term that represents the relationship between effort and load. The conversation emphasizes the importance of accurately measuring loads and efforts to derive the Law of the Machine effectively.

PREREQUISITES
  • Understanding of Mechanical Advantage (MA)
  • Familiarity with Velocity Ratio (VR)
  • Knowledge of efficiency (η) in mechanical systems
  • Basic principles of pulley systems and load measurement
NEXT STEPS
  • Research the equation for the Law of the Machine in mechanical systems
  • Study how to calculate Mechanical Advantage (MA) and its implications
  • Explore methods for accurately measuring load and effort in experiments
  • Investigate the significance of the additional term in the Law of the Machine equation
USEFUL FOR

Engineering students, mechanical engineers, and anyone involved in the design or analysis of pulley systems and mechanical advantage calculations will benefit from this discussion.

Rangers178
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I have worked out all relevant information (i hope) but I am unsure of how to work out the law of the machine from it. We've done a test and recorded our results of a Pully.
We had to measure different loads and see what effort was required for each load. What is the formula for working out the law of the machine?
I have worked out Mechanical Advantage (MA), Velocity Ratio (VR) and the efficiency (η).

Any help be great
 
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Rangers178 said:
I have worked out all relevant information (i hope) but I am unsure of how to work out the law of the machine from it. We've done a test and recorded our results of a Pully.
We had to measure different loads and see what effort was required for each load. What is the formula for working out the law of the machine?
I have worked out Mechanical Advantage (MA), Velocity Ratio (VR) and the efficiency (η).

Any help be great

Welcome to the PF.

There is a Relevant Equation for the Law of the Machine (for machines that have mechanical advantage, like a pulley system). What is that equation? What are the terms defined as in that equation? How do the terms relate to the mechanical advantage? What is the extra term at the end of the equation? What does it represent? How can your experimental data be used to find this last term...?
 

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