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Damped Harmonic Oscillator Force

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2) A force Fext(t) = F0[ 1?exp(?((alpha)(t)) ] acts, for time t > 0, on an oscillator which is at rest at x=0 at time 0. The mass is m; the spring constant is k; and the damping force is ?b[(x)dot]. The parameters satisfy these relations:
b = m*q , k = 4*m*q^2 (where q is a constant with units of inverse time)

Find the motion. Determine x(t); and hand in a qualitatively correct graph of x(t).

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Solution Summary

We solve a problem involving a damped harmonic oscillator.