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A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of (15 cos 3t - 10 sin 3t) N, determine the steady state response. Express your answer in the form R cos(wt - 8). (Let u(t) be the displacement of the mass from its equilibrium position at time t.) Uss(t) =

A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of (15 cos 3t - 10 sin 3t) N, determine the steady state response. Express your answer in the form R cos(wt - 8). (Let u(t) be the displacement of the mass from its equilibrium position at time t.) Uss(t) =

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A spring-mass system has a spring constant 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of (15 cos 3t - 10 sin 3t) N, determine the steady state response. Express your answer in the form R cos(wt 8). (Let u(t) be the displacement of the mass from its equilibrium position at time t.) Uss(t) =
Transcribed Image Text:A spring-mass system has a spring constant 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of (15 cos 3t - 10 sin 3t) N, determine the steady state response. Express your answer in the form R cos(wt 8). (Let u(t) be the displacement of the mass from its equilibrium position at time t.) Uss(t) =
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