Helping find moments in mass-spring-ball system

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The discussion centers on modeling a mass-spring-ball system with friction, where the ball rolls without slipping. The user has derived equations for the motion of the two masses involved but is struggling with how to incorporate the force acting on the ball (F2) into the moment calculations. There is confusion regarding whether F2 should be included as a moment using the radius (r) or if it needs to be perpendicular to the radius (R). The user also seeks assistance in determining the moment due to friction (Mfp). Clarification on these points is needed to advance the modeling process.
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I have this mass-spring-ball system:

https://dl.dropbox.com/u/1723401/massa-molla/sistema.png

There is friction, but the ball only rolls.
I have to find the model of the system.

I started to divide the 2 systems and for mass1 I found the follow equation:

m_1 \cdot \ddot{x_1} = F_k - F_1 - F_{a1} = k \cdot (x_2 - x_1) - F_1 - F_{a1}

Then I find the equation for the ball, but I have some problem! I don't know how to consider that F2 in the sum of the moments!
The sum of the moments will be r * F2, or F2 must be perpendicular to R?

What I've done:

m_2 \cdot \ddot{x_2} = F_2 - F_k - F_{A2} = F_2 +k \cdot (x_2 - x_1) - F_{a2}
J \cdot \ddot{ \alpha } = F_{a2} \cdot r + M_{FP}

But now I don't know how to find Mfp..

any help?
 
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