A 20 kg object is attached to a spring with spring constant 260 kg/s². 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. (et-e-13t) 5 (t) = 12 The motion in this example is O overdamped 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? 1.94
A 20 kg object is attached to a spring with spring constant 260 kg/s². 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. (et-e-13t) 5 (t) = 12 The motion in this example is O overdamped 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? 1.94
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer the last 2 incorrect parts
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.
– 13t)
y(t)
5
-t
- e
12
The motion in this example is
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? 1.94
What is the maximum possible amplitude? 1.94
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