A 20 kg object is attached to a spring with spring constant 260 kg/s?. It is also attached to a dashpot with damping constant c = 280 N-sec/m. The object is pushed upwards from equilibrium with velocity 5 m/s. Find its displacement and time-varying amplitude for t > 0. y(t)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 20 kg object is attached to a spring with spring constant 260
kg/s. It is also attached to a dashpot with damping constant
c = 280 N-sec/m. The object is pushed upwards from equilibrium
with velocity 5 m/s. Find its displacement and time-varying
amplitude for t > 0.
y(t)
The motion in this example is
O overdamped
O underdamped
O critically damped
Consider the same setup above, but now suppose the object is
under the influence of an outside force given by
F(t) = 18 cos(wt).
What value for w will produce the maximum possible amplitude for
the steady state component of the solution?
What is the maximum possible amplitude?
Transcribed Image Text:A 20 kg object is attached to a spring with spring constant 260 kg/s. It is also attached to a dashpot with damping constant c = 280 N-sec/m. The object is pushed upwards from equilibrium with velocity 5 m/s. Find its displacement and time-varying amplitude for t > 0. y(t) The motion in this example is O overdamped O underdamped O critically damped Consider the same setup above, but now suppose the object is under the influence of an outside force given by F(t) = 18 cos(wt). What value for w will produce the maximum possible amplitude for the steady state component of the solution? What is the maximum possible amplitude?
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