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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
Image failed to load: m
is connected to a wall by a spring with stiffness Image failed to load: k
and a viscous damper with damping coefficient Image failed to load: c
, and slides on a surface with friction coefficient Image failed to load: mu
.Image failed to load
The system is subjected to some initial conditions and you want to determine the maximum positive displacement (
Image failed to load: A subscript m a x end subscript
), the maximum negative displacement (Image failed to load: A subscript m i n end subscript
) and the approximate time when the mass stops oscillating (Image failed to load: tau
) - see the figure below.Image failed to load
Select the correct values for
Image failed to load: A subscript m a x end subscript
, Image failed to load: A subscript m i n end subscript
and Image failed to load: tau
, given the following system parameters and initial conditions: Image failed to load: m equals 3
kg, Image failed to load: k equals 300
N/m, Image failed to load: c equals 5
Ns/m, Image failed to load: mu
= 0.05, Image failed to load: x left parenthesis 0 right parenthesis equals x subscript 0 equals 0.1
m, Image failed to load: x with. on top left parenthesis 0 right parenthesis equals v subscript 0 equals 1
m/s. Assume Image failed to load: g equals 9.81
m/s2.
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