Solve Example 3.20, as in Problem 40, with (omega_{n}=) (4 omega_{T} mathrm{rad} / mathrm{s}). Example 3.20 Response

Solve Example 3.20, as in Problem 40, with \(\omega_{n}=\) \(4 \omega_{T} \mathrm{rad} / \mathrm{s}\).

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Example 3.20 Response to a Square Wave Using Fourier Series 47 Consider the simple undamped oscillator + wx F(t)/m, where F(t) is the force represented by the square wave function in Figure 3.49. The square wave is the sim- plest of all non-harmonic, periodic functions since the amplitude over each half-period is constant. Solve for the response using the Fourier series representation for F(t), assuming zero initial conditions. Fo F(t) T T -Fo 2 Figure 3.49: A square wave forcing function F (t).