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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
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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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
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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