kg object is attached to a spring vwith spring constant 16 kg/s². It is also attached to a dashpot with damping constant c = object is initially displaced 5 m above equilibrium and released. Find its displacement and time-varying amplitude for t > 0. 7 N-sec/m. The y(t) = e-0.184t(5 cos(0.9t) + sin(0.9t))
kg object is attached to a spring vwith spring constant 16 kg/s². It is also attached to a dashpot with damping constant c = object is initially displaced 5 m above equilibrium and released. Find its displacement and time-varying amplitude for t > 0. 7 N-sec/m. The y(t) = e-0.184t(5 cos(0.9t) + sin(0.9t))
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text: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 =
object is initially displaced 5 m above equilibrium and released. Find its
displacement and time-varying amplitude for t > 0.
7 N-sec/m. The
y(t)
e-0.184t (5 cos (0.9t) + sin(0.9t))
The motion in this example is
O critically damped
O 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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