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

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

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Question

100%

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

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