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3. Consider a mass-spring-damper system where a mass m = 2 ke is attached to a spring with spring constant k= 5N/m. The system is
3. Consider a mass-spring-damper system where a mass m = 2 ke is attached to a spring with spring constant k= 5N/m. The system is subject to a damping force proportional to the velocity with a damping coefficient = 2Ns/m. Initially, the mass is displaced 0.2 meters from its equilibrium position and released from rest. 1. Find the equation of motion describing the system., 2. Determine the natural frequency, amplitude of the resulting motion. 3. Determine the time it takes for the amplitude to decrease to 10% of its initial value
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