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syndrome
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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:
[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?
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:
[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?
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