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Suppose the following differential equation models mechanical vibration: u" +0.01u'+u = Fo cos(wt). Select the best method among the following for creating the most movement (i.e. the largest "amplitude") for large t values. O Set the mass in motion with large initial velocity. O Start the mass far from equilibrium value. O Apply a large force Fo. Choose Fow. O Choose a large value for w, the frequency of the external force. O Choose the frequency of the external force so that w = 1. O Choose a small value for w, the frequency of the external force.

Suppose the following differential equation models mechanical vibration: u" +0.01u'+u = Fo cos(wt). Select the best method among the following for creating the most movement (i.e. the largest "amplitude") for large t values. O Set the mass in motion with large initial velocity. O Start the mass far from equilibrium value. O Apply a large force Fo. Choose Fow. O Choose a large value for w, the frequency of the external force. O Choose the frequency of the external force so that w = 1. O Choose a small value for w, the frequency of the external force.

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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Question 1 Suppose the following differential equation models mechanical vibration: u" +0.01u'+u = Fo cos(wt). Select the best method among the following for creating the most movement (i.e. the largest "amplitude") for large t values. Set the mass in motion with large initial velocity. Start the mass far from equilibrium value. Apply a large force Fo. O Choose Fo=w. Choose a large value for w, the frequency of the external force. Choose the frequency of the external force so that w = 1. O Choose a small value for w, the frequency of the external force.
Transcribed Image Text:Question 1 Suppose the following differential equation models mechanical vibration: u" +0.01u'+u = Fo cos(wt). Select the best method among the following for creating the most movement (i.e. the largest "amplitude") for large t values. Set the mass in motion with large initial velocity. Start the mass far from equilibrium value. Apply a large force Fo. O Choose Fo=w. Choose a large value for w, the frequency of the external force. Choose the frequency of the external force so that w = 1. O Choose a small value for w, the frequency of the external force.
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