Establishing equations for a worm screw mechanism

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The discussion focuses on developing differential equations for a trailer jack mechanism that converts rotational motion to linear motion, emphasizing the need for high torque to lift heavy loads. Participants inquire about the specific arrangement of components to better understand the mechanics involved. There is a debate on whether the motion should be described using differential equations or if a simpler linear equation suffices. The original poster seeks assistance in applying Laplace transformations to the equations. The conversation highlights the complexity of modeling mechanical systems and the varying approaches to their analysis.
clurt
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Hey guys :)

So I'm looking to form equations that I can apply a Laplace transformation to. The mechanism specifically is a trailer jack - it converts rotational motion to linear motion. And its high torque provides a mechanical advantage to lifting heaving loads.

Can anyone help me form differential equations that I can apply a Laplace function to?

Thanks
 
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What is the actual arrangement of components you want to analyse ? Picture or good drawing please .
 
Last edited:
Why do you think the motion of a jack needs to be described with a differential equation?
The motion can be described with a simple linear equation; x rotational motion equals y change in height.
 

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