Figure 1.1 illustrates a system with a mass of m = 20 kg, springs stiffnesses of kz = 4800N/m, kz = 400N/m, and kz = 800

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Figure 1 1 Illustrates A System With A Mass Of M 20 Kg Springs Stiffnesses Of Kz 4800n M Kz 400n M And Kz 800 1 (46.56 KiB) Viewed 53 times

Figure 1.1 illustrates a system with a mass of m = 20 kg, springs stiffnesses of kz = 4800N/m, kz = 400N/m, and kz = 800N/m attached to the mass. The mass is placed on frictionless rollers. If the mass is given a small displacement and then released, determine 1.1. The natural frequency. [4] Construct the model in the Wolfram System modeler using the Translational library (ignore the rollers) construct the model and obtain the results for the plot for the 5s. 1.2. for a damping ratio of < = 0.1885, determine the damping coefficient and plot the displacement graph for the initial displacement of x, = 0.2 m, and initial velocity *, = 0 m/s. (attach plot to your work) [12] 1.3. Calculate the solution for the plot, by computing the constants C1 and C2 and expressing your equation in its simplest form. [10] X(t) с ki WWW m WW k2 k3 Figure 1.1 Spring mass damper system