Deriving a mathematical model for a stick falling over

AI Thread Summary
The discussion focuses on developing a mathematical model for a stick falling over, initially aiming for a frictionless scenario. The model currently includes an unwanted y-direction acceleration that the creator is struggling to eliminate. There is a suggestion to use relative motion analyses to address this issue, emphasizing the interdependence of rotation and y-direction motion. The conversation revolves around identifying constraints that could help eliminate the y-direction acceleration. The relationship between y and the angle θ is highlighted as a potential area for further exploration.
janneman
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build a mathematical model that describes the motion of a stick falling over
this is how far i have come with my model, i am trying to first the most simple model, meaning no friction involved and then testing that against an actual stick falling by using tracking software. I am currently stuck as my model still has an acceleration in the y direction that i cannot seem to get rid off. i am trying to model it only in terms of mass gravitational acceleration length and the angular acceleration and velocity. Could one use relative motion analyses to get rid of the acceleration in the y?
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The rotation and the motion in the y direction are dependent on each other. If you can specify the constraint, then you can eliminate one of them.
 
what constraint would let me elimate the acceleration in the y?
 
janneman said:
what constraint would let me elimate the acceleration in the y?
The dependence of ##y## as a function of ##\theta##.
 

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