Show this complete solution for this force driven without damping equation: Consider a driven undamped spring/mass systemdescribed by the initial-value problemd²x+ w²x = Fosin" yt, x(0) = 0, x'(0) = 0.di²(a) For n = 2, discuss why there is a single frequencyY₁/27 at which the system is in pure resonance.(b) For n = 3, discuss why there are two frequenciesY₁/27 and y2/2π at which the system is in pureresonance.(c) Suppose w = 1 and Fo= 1. Use a numerical solverto obtain the graph of the solution of the initial-valueproblem for n = 2 and y = y₁ in part (a). Obtain thegraph of the solution of the initial-value problem forn = 3 corresponding, in turn, to y = y₁ and y = y2in part (b).

Solution: Given Data: d2xdt2+ω2x=Fosinnγtx0=0dx0dt=0 To Find:

Answered: Consider a driven undamped spring/mass…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Q2: The system shown in Figure Q2 may be assumed to have rigid levers, no mass and frictionless pivot. For small vertical vibrations of the point mass: k C P Figure Q2 a) Derive expression for the damping ratio b) Derive expression for damped natural frequency c) Calculate the value of the critical damping coefficient m t

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