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As in the previous question, assume that a mass is connected to a wall by a s...

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As in the previous question, assume that a mass

Image failed to load: m
is connected to a wall by a spring with stiffness 
Image failed to load: k
and viscous damper with damping coefficient
Image failed to load: c
, and slides on a surface with friction coefficient 
Image failed to load: mu
.

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Select all the possible combinations of viscous damping and friction that will result in a response with the following characteristics:

  • The maximum positive displacement of the mass is less than 0.04 m.
  • The maximum negative displacement of the mass is less than -0.08 m (i.e. the maximum negative displacement of the mass is between -0.08 m and 0 m).
  • The mass stops oscillating before 1 s.

Assume that 

Image failed to load: m equals 3
 kg, 
Image failed to load: k equals 300
 N/m, 
Image failed to load: x left parenthesis 0 right parenthesis equals x subscript 0 equals 0
 m, 
Image failed to load: x with. on top left parenthesis 0 right parenthesis equals v subscript 0 equals negative 1
 m/s.

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