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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)
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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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 dv fam +kv dt in which k is the coefficient of viscous friction. 12 of 20 Correct Review Part A Find an expression for the transfer function H(f) = V F₁ [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+k Submit Previous Answers Part B Also, 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 =
Transcribed Image Text: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 dv fam +kv dt in which k is the coefficient of viscous friction. 12 of 20 Correct Review Part A Find an expression for the transfer function H(f) = V F₁ [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+k Submit Previous Answers Part B Also, 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 =
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