Pressure generated by a force on a pump with a lever

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SUMMARY

The discussion focuses on calculating the forces at point D in a lever-operated pump mechanism, specifically identifying the components Dx and Dy. A critical aspect is the moment equation for the short spar, which is essential for accurate force determination. The angle of 75° between the levers significantly influences the calculation of Dx. Additionally, the resistance to compression from the fluid in cavity C allows for treating point D as an anchor to ground for analyzing forces and torques.

PREREQUISITES
  • Understanding of basic mechanics and statics
  • Familiarity with lever systems and their equations
  • Knowledge of fluid mechanics, particularly resistance to compression
  • Ability to interpret and manipulate moment equations
NEXT STEPS
  • Study the derivation of moment equations in lever systems
  • Learn about calculating forces in static equilibrium scenarios
  • Explore the effects of angles on force distribution in mechanical systems
  • Investigate fluid dynamics principles related to resistance and compression
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in the design or analysis of lever mechanisms and fluid systems.

BiostudentWouter
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Homework Statement
Find the force in point D, both Dx and Dy
Relevant Equations
Sum of forces = 0, sum of moment= 0
IMG_4927.jpg
 

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You have a sign error in the third equation in the top right group. Also, I couldn't read some of it. Looks like ##-6yz,\delta z##.

You need a moments equation for the short spar.
 
BiostudentWouter said:
Homework Statement:: Find the force in point D, both Dx and Dy
...
What would you like to be helped with in this problem?

Since there is resistance to compression from the fluid in cavity C, you can consider D to be an anchor to ground in order to determine instantaneous forces and torques for that particular geometry of the mechanism.

Note that the angle of 75° formed between both levers is key in calculating Dx.
 
Last edited:

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