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http://iwant2study.org/lookangejss/02_newtonianmechanics_8oscillations/ejss_model_SHM08springconstantfrictionforce/SHM08springconstantfrictionforce_Simulation.xhtml

 Theory

The equilibrium position can be varied in this simulation.  
The spring will try to move back to it's equilibrium position.

The differential equations are: 

\( \frac{dx}{dt} = v \)

\( \frac{dv}{dt} = a = \frac{k x}{m} - \frac{\mu g }{m} \)

here is a friction force between block and the floor, Fr= -mu*m*g;

Reference:

1. http://weelookang.blogspot.sg/2016/04/harmonic-oscillator-virtual-lab.html
2. http://weelookang.blogspot.sg/2015/01/shm-chapter-08.html
3. http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=1084.0 Java Simulation by Fu-Kwun Hwang

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