Reaction force of freely rotating rod

AI Thread Summary
The discussion revolves around solving a problem involving a homogenous rod that rotates freely around one end, specifically finding the reaction force based on its position. Participants suggest starting by calculating the force at the fixed point due to gravity and the rod's movement. They emphasize that if zero movement is assumed, the reaction force can be simplified to a function of the rod's position, but incorporating angular velocity is crucial for a more accurate solution. The conversation highlights the challenge of accounting for dynamic forces without assuming zero movement. Overall, the focus is on developing a method to calculate the reaction force effectively.
rruben
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Hi guys!

I'm working some problems for our exam in a few weeks and there are a few problems we are unable to solve.

One of them is: "A homogenous rod is free to rotate without friction around one of it's ends. Find the reaction force in function of the position of the rod."

As you can see the question is very vague, we've tried to do something with Euler's angles and equations of motion but cannot get to a solution. Any input or help would be greatly appreciated!

Thanks
 
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Maybe you should calculate the force on the fixed point due to gravity and movement of the rod. If you can assume zero movement, it is just a function of the position, otherwise the angular velocity is relevant, too.
 
We think that may be right but the difficulty is how to go about something like this, not assuming zero movement of course.
 
Calculate it with zero movement, add the centripetal force.
 

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