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Helping find moments in mass-spring-ball system

  1. Jun 6, 2012 #1
    I have this mass-spring-ball system:

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

    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:

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

    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:

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

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

    any help?
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Jun 7, 2012 #2
    Up.. please :confused:
     
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