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(0) (ii) € (iv) Formulate a differential equation to express the previous system (apply Newton's Second Law) If m=2, b=1, and k=6, solve this second order differential equation assuming homogeneous case (f(t)=0). If someone applied a force f(t) = 2 N (starting at t=0) to the previous system, solve this non homogeneous second order differential equation. Suppose that the damping effect of the system is changed (b-10). How will this affect the response of the system assuming zero initial conditions? Show all details.

(0) (ii) € (iv) Formulate a differential equation to express the previous system (apply Newton's Second Law) If m=2, b=1, and k=6, solve this second order differential equation assuming homogeneous case (f(t)=0). If someone applied a force f(t) = 2 N (starting at t=0) to the previous system, solve this non homogeneous second order differential equation. Suppose that the damping effect of the system is changed (b-10). How will this affect the response of the system assuming zero initial conditions? Show all details.

Advanced Engineering Mathematics
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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(0) (iv) Formulate a differential equation to express the previous system (apply Newton's Second Law) If m=2, b=1, and k-6, solve this second order differential equation assuming homogeneous case (f(t)=0). If someone applied a force f(t) = 2 N (starting at t=0) to the previous system, solve this nonhomogeneous second order differential equation. Suppose that the damping effect of the system is changed (b-10). How will this affect the response of the system assuming zero initial conditions? Show all details.
Transcribed Image Text:(0) (iv) Formulate a differential equation to express the previous system (apply Newton's Second Law) If m=2, b=1, and k-6, solve this second order differential equation assuming homogeneous case (f(t)=0). If someone applied a force f(t) = 2 N (starting at t=0) to the previous system, solve this nonhomogeneous second order differential equation. Suppose that the damping effect of the system is changed (b-10). How will this affect the response of the system assuming zero initial conditions? Show all details.
Task 1: A mechanical system is shown in the figure below. This system consists of a damper (b), spring (k) and mass (m). A force f(t) can be applied on this system in order to move the mass a specific distance value (x). This system is governed by the following three equations: fi(t) = 771 f₂(t) = b d²x(t) dt² b dx(t) dt f₂(t) = kx m
Transcribed Image Text:Task 1: A mechanical system is shown in the figure below. This system consists of a damper (b), spring (k) and mass (m). A force f(t) can be applied on this system in order to move the mass a specific distance value (x). This system is governed by the following three equations: fi(t) = 771 f₂(t) = b d²x(t) dt² b dx(t) dt f₂(t) = kx m
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(iv) Suppose that the damping effect of the system is changed (b=10). How will this affect the response of the system assuming zero initial conditions? Show all details.
Transcribed Image Text:(iv) Suppose that the damping effect of the system is changed (b=10). How will this affect the response of the system assuming zero initial conditions? Show all details.
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