How Do You Calculate Mechanical Advantage in a Nail Puller?

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SUMMARY

The mechanical advantage (MA) of a nail puller can be calculated using the formula MA = FO/FI = LI/LO, where FO is the output force, FI is the input force, LI is the length from the pivot to the input force, and LO is the length from the pivot to the output force. In this case, with an exerted force at 45 cm from the pivot and the nail located 1.8 cm from the pivot, the minimum input force required to achieve an output force of 1250 N can be determined. By substituting the known values into the equation, users can derive the necessary input force.

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  • Understanding of mechanical advantage concepts
  • Familiarity with torque and lever principles
  • Basic algebra for solving equations
  • Ability to interpret diagrams and label forces
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  • Calculate the minimum input force required using the MA formula with given dimensions
  • Explore the concept of torque in relation to levers and mechanical systems
  • Study real-world applications of mechanical advantage in tools and machinery
  • Learn about the principles of equilibrium in mechanical systems
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Armando Valle
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What is the mechanical advantage of a nail puller where you exert a force 45 cm from the pivot and the nail is 1.8 cm on the other side? What minimum force must you exert to apply a force of 1250 N to the nail?

Homework Equations


2. Homework Equations
MA= FO/FI * LI/LO

The Attempt at a Solution


Ive tried to make the problem but i don't understand it, can someone help me? thanks!
 
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Armando Valle said:
What is the mechanical advantage of a nail puller where you exert a force 45 cm from the pivot and the nail is 1.8 cm on the other side? What minimum force must you exert to apply a force of 1250 N to the nail?

Homework Equations


2. Homework Equations
MA= FO/FI * LI/LO

The Attempt at a Solution


Ive tried to make the problem but i don't understand it, can someone help me? thanks!
What have you tried? What's the geometry of a nail puller? Have you drawn a diagram and labelled the forces? A "pivot" implies that torques may be involved. What have you done to investigate this?
 
Ive tried to use the MA equation but i don´t find a relationship with the forces included on the problem. this are the images of the problems, thanks!
 

Attachments

  • Screen Shot 2016-09-16 at 6.36.46 PM.png
    Screen Shot 2016-09-16 at 6.36.46 PM.png
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I don't understand your relevant equation ("MA equation") as presented. Can you define the variables?
 
this are the equations
 

Attachments

  • Screen Shot 2016-09-16 at 6.57.44 PM.png
    Screen Shot 2016-09-16 at 6.57.44 PM.png
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Your Relevant equation:
Armando Valle said:
2. Homework Equations
MA= FO/FI * LI/LO
does not reflect what is in your latest image. It should be:

MA= FO/FI = LI/LO

Note the "=" between the terms. So you're dealing with ratios.

Can you pair up the given values in your problem with the variables in your equation?
 
Armando Valle said:
this are the equations

The figure for OP's problem together with said equations.

screen-shot-2016-09-16-at-6-57-44-pm-png.106095.png
 

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