1.8.2. An undamped oscillator is driven beginning at t = 0 with a force Fsin wt,...

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1.8.2. An undamped oscillator is driven beginning at t = 0 with a force Fsin wt, where wwo. (a) Find the resultant speed of the mass if it is at rest at t = 0. (b) Sketch the waveform of the speed if w = 2wn. (c) If a small amount of damping is introduced and the driving frequency is far below resonance, show that the steady-state solution is approximated by u(t)=(wF/s) cos wt. 1.8.2. An undamped oscillator is driven beginning at t = 0 with a force Fsin wt, where wwo. (a) Find the resultant speed of the mass if it is at rest at t = 0. (b) Sketch the waveform of the speed if w = 2wn. (c) If a small amount of damping is introduced and the driving frequency is far below resonance, show that the steady-state solution is approximated by u(t)=(wF/s) cos wt.