Mathematical Modeling of mehanic system

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Hi i am modeling this mehanical system and i dont know if that is correct. If it is how to draw the block diagram on paper and simulatic scheme in Simulink?

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Sam Chak
Sam Chak 2021-1-18
If and , then from the correct free body diagram of the two masses, the sum of forces can be written as follow:
,
.
Combining the kinematics and these two equations of motion into a single matrix equation yields
From here, you should be able to rewrite the matrix equation into the state-space model with A, B, C, D matrices. In Simulink, you can implement the linear state-space system using the state-space block.

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