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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 is connected to a wall by a spring with stiffness
and a viscous damper with damping coefficient
, and slides on a surface with friction coefficient
.
The system is subjected to some initial conditions and you want to determine the maximum positive displacement (), the maximum negative displacement (
) and the approximate time when the mass stops oscillating (
) - see the figure below.
Select the correct values for ,
and
, given the following system parameters and initial conditions:
kg,
N/m,
Ns/m,
= 0.05,
m,
m/s. Assume
m/s2.