Can the output forces for F3 and F4 be the same as F2 in hydraulic lifting?

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SUMMARY

The discussion centers on the calculation of output forces F3 and F4 in a hydraulic lifting system, given that input force F1 and area A1 are constant across three cases. According to Pascal's principle, the output force F2 can be calculated using the formula F2 = (A2/A1) x F1. However, the forces on the top surfaces of areas A2 in cases 2 and 3 do not contribute to movement, thus they do not produce mechanical work. The net forces must consider only the "moving areas" to determine the output forces accurately.

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ucody0911
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User has been reminded to post schoolwork problems in the Homework Help forums and to always show their Attempt at the Solution
Hello All,
pls see picture , input force F1 and area A1 and second area A2 are all same for 3 cases
for the 1st case , output force F2 should be F2=A2/A1 x F1 , by pascal's principle ,
what about output forces of F3 and F4 ? can be same as F2 ? how i calculate them ?

thanks
 

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Hydraulic pressure applies on all the inner surfaces, upper, base and the sides of A2. Some forces by pressure cancel because they have opposite directions and you would get the net results.
 
Last edited:
The "moving areas" are the only ones to be considered.
The force on the top surfaces A2 of cases 2 and 3 produces no movement; therefore, no mechanical work.
 
Lnewqban said:
The "moving areas" are the only ones to be considered.
The force on the top surfaces A2 of cases 2 and 3 produces no movement; therefore, no mechanical work.
Presumably the red open outline represents a free-to-move piston. Why wouldn't the piston move?
 
Last edited:
ucody0911 said:
Hello All,
pls see picture , input force F1 and area A1 and second area A2 are all same for 3 cases
for the 1st case , output force F2 should be F2=A2/A1 x F1 , by pascal's principle ,
what about output forces of F3 and F4 ? can be same as F2 ? how i calculate them ?

thanks

Please re-post this in the Homework Help, Introductory Physics forum and use the hints you have been given here to show your work toward a solution. This misplaced schoolwork thread is now locked.
 

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