Pressure generated by a force on a pump with a lever

[BiostudentWouter]

Homework Statement

Find the force in point D, both Dx and Dy

Relevant Equations

Sum of forces = 0, sum of moment= 0

 

[haruspex]

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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.

 

[Lnewqban]

Homework Statement:: Find the force in point D, both Dx and Dy
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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.