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Question: ft max 2 an oscillator is driven by the periodic...

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f(t) /max 2) An oscillator is driven by the periodic force shown right, which has period τ-2. (a) Find the long-term motion x(t), assuming the following parameters: natural period τ,-2 (that is, ω0-T), damping parameter β-0.1, and maximum drive strength fmax I. Find the coefficients in the Fourier series for x(t) and plot the sum of the first four terms in the series for 0 s ts6. (b) Repeat, except with natural period equal to 3 (c) Find the complete solution if the initial conditions are x 1, vo-0; plot this solution (you need only to plot the first four terms as in part (a). (d) Plot the rms response of this system. (x2), as a function of the driving frequency ω

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