mechanical system is shown in the figure below. This system consists of a damper (b), spring (k) nd mass (m). A force f(t) can be applied on this system in order to move the mass a specific distance alue (x). This system is governed by the following three equations: f₁(t) = m- d²x(t) dt² f₂(t)=b- dx(t) dt fa(t) = kx F m (1) Formulate a differential equation to express the previous system (apply Newton's Second Law) (ii) If m=2, b=1, and k=6, solve this second order differential equation assuming homogeneous case (f(t)=0). (iii) If someone applied a force f(t)= 2 N (starting at t=0) to the previous system, solve this nonhomogeneous second order differential equation.

mechanical system is shown in the figure below. This system consists of a damper (b), spring (k) nd mass (m). A force f(t) can be applied on this system in order to move the mass a specific distance alue (x). This system is governed by the following three equations: f₁(t) = m- d²x(t) dt² f₂(t)=b- dx(t) dt fa(t) = kx F m (1) Formulate a differential equation to express the previous system (apply Newton's Second Law) (ii) If m=2, b=1, and k=6, solve this second order differential equation assuming homogeneous case (f(t)=0). (iii) If someone applied a force f(t)= 2 N (starting at t=0) to the previous system, solve this nonhomogeneous second order differential equation.

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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