6. An object with 10kg mass is attached to 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. The damping and spring constants are 3N/m and 49N/m respectively. Formulate a differential equation describing the system, use the method of undetermined coefficients to determine the steady state solution for the system and sketch one cycle of the sinusoidal sine wave, y = Asin(wt + a).

6. An object with 10kg mass is attached to 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. The damping and spring constants are 3N/m and 49N/m respectively. Formulate a differential equation describing the system, use the method of undetermined coefficients to determine the steady state solution for the system and sketch one cycle of the sinusoidal sine wave, y = Asin(wt + a).

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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