A 4 [kg] of mass is hung upon the lower end of a coil spring hanging vertically from a fixed support. The mass comes to rest in its equilibrium position, thereby stretching the spring 0.8 [m]. The weight is then pulled down a certain distance below this equilibrium position and released at t = 0. The medium offers a resistance equal to a(dx/dt), where a > 0 and dx/dt is the instantaneous velocity in [m/s]. (a) Determine the displacement of the weight as a function of the time (in terms of a)
A 4 [kg] of mass is hung upon the lower end of a coil spring hanging vertically from a fixed support. The mass comes to rest in its equilibrium position, thereby stretching the spring 0.8 [m]. The weight is then pulled down a certain distance below this equilibrium position and released at t = 0. The medium offers a resistance equal to a(dx/dt), where a > 0 and dx/dt is the instantaneous velocity in [m/s]. (a) Determine the displacement of the weight as a function of the time (in terms of a)
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![A 4 [kg] of mass is hung upon the lower end
of a coil spring hanging vertically from a
fixed support. The mass comes to rest in its
equilibrium position, thereby stretching
the spring 0.8 [m]. The weight is then
pulled down a certain distance below this
equilibrium position and released at t = 0.
The medium offers a resistance equal to
a(dx/dt), where a > 0 and dx/dt is the
instantaneous velocity in [m/s].
(a) Determine the displacement of the
weight as a function of the time (in terms of
a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0702fd25-4c96-412c-bedd-7e7e6138035a%2F449659bf-298a-4525-b63c-cc3b8c4b45bd%2Fiq8euib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A 4 [kg] of mass is hung upon the lower end
of a coil spring hanging vertically from a
fixed support. The mass comes to rest in its
equilibrium position, thereby stretching
the spring 0.8 [m]. The weight is then
pulled down a certain distance below this
equilibrium position and released at t = 0.
The medium offers a resistance equal to
a(dx/dt), where a > 0 and dx/dt is the
instantaneous velocity in [m/s].
(a) Determine the displacement of the
weight as a function of the time (in terms of
a)
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