(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There is a mass attached to two springs on a table. Coefficients of static and sliding friction between the mass and table are equal with the value [tex]\mu[/tex].

The particle is released at time t=0 with a positive displacement x_{0}from equilibrium. Given that 2kx_{0}> [tex]\mu[/tex]mg write down the equation of motion as long as it remains moving. Verify it's satisfied by x(t)=Acos(wt) + Bsin(wt) + C and find the constants A,B and C for the data given.

Find the time t_{1}and position x_{1}at which the particle next comes to rest.

2. Relevant equations

3. The attempt at a solution

I think I can do the verifying part, and am able to get B=0 after differentiating to find v which is 0 when t=0. Then A+C = x_{0}I think. The equation of motion is

ma=-2kx+ [tex]\mu[/tex]mg i guess? Really don't know where to go from here. I worked out earlier in the absence of friction that the angular frequency w=sqrt(2k/m), is this still the same? Any ideas what to do next?

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# Homework Help: SImple Harmonic Oscillator under constant friction force

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