I Finding the Axis of Rotation with Given CoG and Force Point

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The discussion centers on finding the axis of rotation for a square body when the center of gravity and the point of applied external force are known. The user initially struggles with determining the axis due to ending up with multiple variables, suggesting a misunderstanding of the torque calculation. Clarifications are made regarding the torque's dependence on the chosen point and the nature of the external force, which is a constant thrust applied perpendicularly. Participants encourage the user to reformulate the problem using LaTeX for clarity and to apply Newton's Second Laws for a more structured approach. The conversation emphasizes the importance of accurately defining the forces and their effects on the system's motion.
  • #31
pointdexter16 said:
Ok
Turns out I was a little hasty of suggesting to find a closed form for ##x(t)## and ##y(t)##. You can write the equations down, but I think it results in some non-elementary integrals involving ##\sin \left( kt^2 \right)##, and ##\cos \left( kt^2 \right)##...

See: Fresnal Integral
 
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  • #32
erobz said:
Turns out I was a little hasty of suggesting to find a closed form for ##x(t)## and ##y(t)##. You can write the equations down, but I think it results in some non-elementary integrals involving ##\sin \left( kt^2 \right)##, and ##\cos \left( kt^2 \right)##...

See: Fresnal Integral
If possible could you provide me with the whole solution
 
  • #33
pointdexter16 said:
If possible could you provide me with the whole solution
Sorry, No. I can't. But you can write down Newtons Second Laws for the is object and figure out what I'm talking about. Afterword, if you are still curious then take it to the Mathematicians in here to see what they can do with it.
 

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