Question: 3) The mechanical system we are analyzing in this problem is shown on the right (45 pt): a) Derive the equation of motion and

3) The mechanical system we are analyzing in this problem is shown


3) The mechanical system we are analyzing in this problem is shown on the right (45 pt): a) Derive the equation of motion and the natural frequency. Check the unit of your natural frequency formula. b) Through some simple measurements, we determine m = m = 5 kg, L = 20 cm, r2 = 20 cm. When the mass is disturbed with an initial velocity, the displacement of the mass x is measured as shown below. Determine the spring constant k, damping coefficient c, and the initial velocity xo. 10 5 0 Ommy L 40 L 112 te

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