P 6.35Perhaps surprisingly, we can apply the transfer-function concept tomechanical systems. Suppose we have a mass m moving through aliquid with an applied force fa and velocity v. The motion of the mass isdescribed by the first-order differential equationdvfam +kvdtin which k is the coefficient of viscous friction.12 of 20CorrectReviewPart AFind an expression for the transfer function H(f) =VF₁[Hint: To determine the transfer function, assume steady-state sinusoidal velocity v=Vm cos(2π ft), solve for the force, and take the ratio of their phasors.]Express your answer in terms of and some or all of the variables k, m, and f.H(f) = 32nfm+kSubmitPrevious AnswersPart BAlso, find the half-power frequency (defined as the frequency at which the transfer function magnitude is 1/√/2 times its dc value) in terms of k and m.Express your answer in terms of the variables k and m.VAΣ vec?fB =

Answered: Image /qna-images/answer/bc8b160e-878d-4653-af8f-98b3df867e06.jpg

P 6.35 Perhaps surprisingly, we can apply the transfer-function concept to mechanical systems. Suppose we have a mass m moving through a liquid with an applied force fa and velocity v. The motion of the mass is described by the first-order differential equation fa = mu+ku in which k is the coefficient of viscous friction. 12 of 20 > Review Part A Find an expression for the transfer function H(f) = V Fa [Hint: To determine the transfer function, assume a steady-state sinusoidal velocity = Vm cos(2n ft), solve for the force, and take the ratio of their phasors.] Express your answer in terms of and some or all of the variables k, m, and f. H(f) = 32mfm+k Submit Previous Answers ✓ Correct Part B terms of k and m. Also, find the half-power frequency (defined as the frequency at which the transfer function magnitude is 1/√/2 times its dc value) Express your answer in terms of the variables k and m. IVE ΑΣΦ | Η vec ? fB =

P 6.35 Perhaps surprisingly, we can apply the transfer-function concept to mechanical systems. Suppose we have a mass m moving through a liquid with an applied force fa and velocity v. The motion of the mass is described by the first-order differential equation fa = mu+ku in which k is the coefficient of viscous friction. 12 of 20 > Review Part A Find an expression for the transfer function H(f) = V Fa [Hint: To determine the transfer function, assume a steady-state sinusoidal velocity = Vm cos(2n ft), solve for the force, and take the ratio of their phasors.] Express your answer in terms of and some or all of the variables k, m, and f. H(f) = 32mfm+k Submit Previous Answers ✓ Correct Part B terms of k and m. Also, find the half-power frequency (defined as the frequency at which the transfer function magnitude is 1/√/2 times its dc value) Express your answer in terms of the variables k and m. IVE ΑΣΦ | Η vec ? fB =

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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6.27 Consider the RC op-amp circuit shown in Fig. P6.27. What value of R, and R₂ will give the transfer function V₁ IF T(s) = = 1 F می ²+ (1/2)s + 1 R₂ R₁ w FIGURE P6.27 V₂
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6.5-2. Consider the system of Fig. P6.5-2. The digital filter is described by m(kT) = e(kT) 1.9e[(k-1)7] + m[(k-1)7] (a) Find the system type. (b) Find the steady-state response for a unit-step input, without finding C(z). (c) Find the approximate time for the system to reach steady state. (d) Find the unit-step response for the system and verify parts (b) and (c). R(s) T= Is FIGURE PS.5-2 System for Problem 6.5-2. D(2) M(s) Go(s) 1 $+2 C(s)
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