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. Consider a particle with the an equation of motion
I 26.xax =
0,
where B anda are positive constants. The particle starts at rest from a position >0
Determine the natural frequency wo.
(a)
Write down the auxiliary equation corresponding to the above homoge-
(b)
neous linear differential equation and obtain the general solution æ(t) for strong
damping B >wo.
Sketch x(t) vs. t and the phase space diagram x(t) vs. (t) for the given
(c)
initial conditions.

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