3) The mechanical system we are analyzing in this problem is shown on the right (45...

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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 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