A 2-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch 1.4 m upon coming to rest at equilibrium. At time t= 0, an external force of F(t) = cos 2t N is applied to the system. The damping constant for the system is 4 N-sec/m. Determine the steady-state solution for the system. The steady-state solution is y(t) = 1 20 sin 2t- 1 40 cos 2t The solution above is incorrect. plz help

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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A 2-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch 1.4 m upon coming to rest at
equilibrium. At time t= 0, an external force of F(t) = cos 2t N is applied to the system. The damping constant for the system is 4 N-sec/m.
Determine the steady-state solution for the system.
The steady-state solution is y(t) =
1
20
sin 2t-
1
40
cos 2t
The solution above is incorrect.
plz help
Transcribed Image Text:A 2-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch 1.4 m upon coming to rest at equilibrium. At time t= 0, an external force of F(t) = cos 2t N is applied to the system. The damping constant for the system is 4 N-sec/m. Determine the steady-state solution for the system. The steady-state solution is y(t) = 1 20 sin 2t- 1 40 cos 2t The solution above is incorrect. plz help
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,