A 19 kg object is attached to a spring with spring constant 16 kg/s2. It is also attached to a dashpot with damping constant c = 7 N-sec/m. The object is initially displaced 5 m above equilibrium and released. Find its displacement and time-varying amplitude for t > 0. y(t) = ||
A 19 kg object is attached to a spring with spring constant 16 kg/s2. It is also attached to a dashpot with damping constant c = 7 N-sec/m. The object is initially displaced 5 m above equilibrium and released. Find its displacement and time-varying amplitude for t > 0. y(t) = ||
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Transcribed Image Text:A 19 kg object is attached to a spring with spring constant 16
kg/s. It is also attached to a dashpot with damping constant
c = 7 N-sec/m. The object is initially displaced 5 m above
equilibrium and released. Find its displacement and time-varying
amplitude for t > 0.
y(t) =
The motion in this example is
O critically damped
overdamped
O underdamped
Consider the same setup above, but now suppose the object is
under the influence of an outside force given by F(t)
4 cos(wt)
What value for w will produce the maximum possible amplitude for
the steady state component of the solution?
0.977
What is the maximum possible amplitude?
2.30
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