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Numerically integrate and plot the response of an underdamped system determined by m = 150 kg and k = 4000 N/m, subject to the initial conditions of x = 0.01 m and vo= 0.1 m/s, and the applied force F(t) = 15 cos 10t, for various values of the damping coefficient. Use this "program" to determine a value of damping that causes the transient term to die out within 3 seconds. Try to find the smallest such value of damping remembering that added damping is usually expensive.

Numerically integrate and plot the response of an underdamped system determined by m = 150 kg and k = 4000 N/m, subject to the initial conditions of x = 0.01 m and vo= 0.1 m/s, and the applied force F(t) = 15 cos 10t, for various values of the damping coefficient. Use this "program" to determine a value of damping that causes the transient term to die out within 3 seconds. Try to find the smallest such value of damping remembering that added damping is usually expensive.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Numerically integrate and plot the response of an underdamped system determined by m = 150 kg and k = 4000 N/m, subject to the initial conditions of x = 0.01 m and vō = 0.1 m/s, and the applied force F(t) = 15 cos 10t, for various values of the damping coefficient. Use this "program" to determine a value of damping that causes the transient term to die out within 3 seconds. Try to find the smallest such value of damping remembering that added damping is usually expensive.
Transcribed Image Text:Numerically integrate and plot the response of an underdamped system determined by m = 150 kg and k = 4000 N/m, subject to the initial conditions of x = 0.01 m and vō = 0.1 m/s, and the applied force F(t) = 15 cos 10t, for various values of the damping coefficient. Use this "program" to determine a value of damping that causes the transient term to die out within 3 seconds. Try to find the smallest such value of damping remembering that added damping is usually expensive.
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