Complex mechanics/dynamics problem

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The discussion centers around a complex mechanics problem involving equations for acceleration and velocity in vector notation. The user expresses confusion about the variable distance 'r' and its implications on the system's dynamics, questioning how changes in 'r' affect other parameters. There is uncertainty regarding the definitions and locations of points 'a' and 'b' within the context of the problem. The user seeks clarification and assistance in understanding the mechanics involved. Overall, the thread highlights the challenges faced in applying the relevant equations to the problem at hand.
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So this is the problem. Relevant equations should be:

Aa = Ab + Aa/b
Va = Vb + Va/b

and vector notation:

Aa = Ab + ω' x r + ω x (ω x r) + 2ω x Vrel + Arel

I have no attempt at this because I am currently working on it and really have no idea if I am going in the right direction.

Can anybody help?

Homework Statement


Homework Equations


The Attempt at a Solution

 
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Is the distance r1 variable? I presume that the distance r is considered as a driving motion, but how does changing r cause anything else to change? It looks like r could change without requiring motion anywhere else. Something is quite unclear about this mechanism.

Where are a and b? (the lower case letter points)?
 

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