Reaction force of freely rotating rod

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