A 20 kg object is attached to a spring with spring constant 260kg/s. It is also attached to a dashpot with damping constantc = 280 N-sec/m. The object is pushed upwards from equilibriumwith velocity 5 m/s. Find its displacement and time-varyingamplitude for t > 0.y(t)The motion in this example isO overdampedO underdampedO critically dampedConsider the same setup above, but now suppose the object isunder the influence of an outside force given byF(t) = 18 cos(wt).What value for w will produce the maximum possible amplitude forthe steady state component of the solution?What is the maximum possible amplitude?

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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)

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

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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