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Question: show your work and include any code used to solve...

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Show your work and include any code used to solve the problems I. Derive the solution of mx + kx = 0 and plot the result for 2 periods for the case with wn-4 rad/s, 2. Make a 3D surface plot of the amplitude A of an undamped oscillator for the initial conditions 3. The acceleration of a machine part modeled as a spring-mass system is measured and recorded below. o-2 mm, and vo 6 mm/s. -50 So 50cm and -100 v 100 cm/s for a system with natural frequency 5 rad/s. Compute the displacement of the mass over time, x(t) 10 10 time (s) 0 5 15 Figure 1: Machine part acceleration recording

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