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Suppose that you want to understand the behaviour of the single degree of freedo...

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Suppose that you want to understand the behaviour of the single degree of freedom system shown in the figure below.  A mass m is connected to a wall by a spring with stiffness k and a viscous damper with damping coefficient c, and slides on a surface with friction coefficient mu.

The system is subjected to some initial conditions and you want to determine the maximum positive displacement (A subscript m a x end subscript), the maximum negative displacement (A subscript m i n end subscript) and the approximate time when the mass stops oscillating (tau) - see the figure below.

Select the correct values for A subscript m a x end subscriptA subscript m i n end subscript and tau, given the following system parameters and initial conditions: m equals 3  kg, k equals 300 N/m, c equals 5 Ns/m, mu = 0.05, x left parenthesis 0 right parenthesis equals x subscript 0 equals 0.1 m, x with. on top left parenthesis 0 right parenthesis equals v subscript 0 equals 1 m/s. Assume g equals 9.81 m/s2.

 

 

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