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 =

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.12MCQ

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