Static equilibrium, machines; handheld press

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SUMMARY

The discussion focuses on calculating the force P applied to a handheld press when 64-N forces are exerted on the handles. Key concepts include the mechanical advantage of the system and the movement ratios involved in the lever mechanism. Participants emphasize the importance of understanding the free body diagram and the vertical movement of the cylinder DE. The solution requires analyzing the relationship between the angle change and the resulting vertical displacement of point D.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with free body diagrams
  • Knowledge of mechanical advantage in lever systems
  • Basic trigonometry for angle and distance calculations
NEXT STEPS
  • Study the principles of static equilibrium in mechanical systems
  • Learn how to construct and analyze free body diagrams
  • Research mechanical advantage calculations in lever systems
  • Explore the relationship between angular displacement and linear movement in mechanics
USEFUL FOR

Engineering students, mechanical engineers, and anyone involved in the design or analysis of mechanical systems, particularly those utilizing levers and presses.

J-dizzal
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Homework Statement


The handheld press is useful for such tasks as squeezing rivets or punching holes. What force P is applied to the sheet metal at E for the 64-N forces applied to the handles?
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Homework Equations

The Attempt at a Solution


20150720_225004_zps2oxrnb5s.jpg

Not sure how to get this one started, i initially took the moment of the top piece but that didnt solve for anything.
 
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I think you made a very good start with the first free body diagram. I think the key is to realize that the cylinder DE (shown as hidden lines) is free to move vertically independently.
 
Think about mechanical advantage and movement ratios.
If the lever is moved down a small distance dx, by how much does the angle change?
If the angle changes by a small amount ##d\theta##, how far does D move down?
(Draw yourself a larger diagram of the C/D region).
 

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