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5. A 10kg mass is attached to a spring hanging from a ceiling. This causes the spring to stretch 2m on coming to rest at equilibrium. At time t = 0 an external force f (t) = 20cos4t is applied to the system. Let the damping constant B = 3, formulate a differential equation describing the system and use the method of undetermined coefficients to determine the steady state solution of the system and sketch one cycle of the sine wave form of the steady state.

5. A 10kg mass is attached to a spring hanging from a ceiling. This causes the spring to stretch 2m on coming to rest at equilibrium. At time t = 0 an external force f (t) = 20cos4t is applied to the system. Let the damping constant B = 3, formulate a differential equation describing the system and use the method of undetermined coefficients to determine the steady state solution of the system and sketch one cycle of the sine wave form of the steady state.

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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5. A 10kg mass is attached to a spring hanging from a ceiling. This causes the spring to stretch 2m on coming to rest at equilibrium. At time t = 0 an external force f (t) = 20cos4t is applied to the system. Let the damping constant B = 3, formulate a differential equation describing the system and use the method of undetermined coefficients to determine the steady state solution of the system and sketch one cycle of the sine wave form of the steady state.
Transcribed Image Text:5. A 10kg mass is attached to a spring hanging from a ceiling. This causes the spring to stretch 2m on coming to rest at equilibrium. At time t = 0 an external force f (t) = 20cos4t is applied to the system. Let the damping constant B = 3, formulate a differential equation describing the system and use the method of undetermined coefficients to determine the steady state solution of the system and sketch one cycle of the sine wave form of the steady state.
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