### Find the corresponding damping coefficient

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##### Reference no: EM13212288

System Dynamics-Time Domain Analysis of Dynamic Systems

mass =8kg
stiffness =90N/m
initial displacement =0.1m
initial velocity =0.9m/s

Assume the system is underdamped, and the damping ratio is 0.5. Find the corresponding damping coefficient c. Identify the system parameters such as the natural frequency and damped frequency. Derive the mathematical expression of the displacement as a function of time with the given initial condition. Plot your result.

For the underdamped system in above question, NO initial conditions are applied. Input force is a unit step function of 1.5 N. Derive the mathematical expression of the displacement as a function of time. Plot your result.

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