Skill-Assessment Exercise 2.8PROBLEM: Find the transfer function, G(s) = X2(s)/F(s), for the translationalmechanical system shown in Figure 2.21.▬▬▬fv₁² = 1 N-s/mf(t)fv,= 1 N-s/mx1 (t)M₁ = 1 kgK= 1 N/moooofv₂ = 1 N-s/mx2 (1)M₂ = 1 kg= 1 N-s/mfv₂=FIGURE 2.21 Translationalmechanical system for Skill-Assessment Exercise 2.8

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Answered: PROBLEM: Find the transfer function,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Q2: Derive the 1st order transfer function of a liquid-level system shown fig. (1) to determine the response of the outlet flow (q.(t)) to unit pulse change in the inlet flow (qin (t)). q (t) I Ih(t) 1 Fig.(1) R go (t)
*1(1) fv, K1 K2 M2 oll fv (a) F(s) X,(8) G(s) (b) Figure 1 Given in Figure 1 (a) Two-degree-of freedom translational mechanical system and (b) Block diagram, find the transfer function of G(s) = *:6 F(s)
From the mechanical system with translational motion shown in figure a, Find the transfer function Y1(s)/F(s)
6. If the transfer function of the system is diagram? a) 1 b) s F(s) Y(s) 1 F(s) = s+4 K then what is the value of K in the following 4 Y(s) d) 1/4
2) Consider the spring-mass-damper system hanging down from a ceiling. Initially, the system is at rest. Then, we gently place another mass (M) on top the original one (m). First, please obtain the equation of motion of the mass m in the system (before we placed the other object). Assign the displacement references yourself and obtain the equation accordingly. From the equation of motion, please obtain the transfer function, G(s), between an external force on the mass m , f(t), and the displacement of the mass m, x(t). Then, please obtain the motion of the object M, using the transfer function G(s). Don't forget that G(s) belongs to the system shown on the top! To solve this, represent the force applied by the added mass (M) as a function of time. How would you describe the act of adding a mass as an external force input? Then solve for x(t). c = 10 Ns/m k = 50 N/m m = 5 kg M M = 25 kg F(s) G(s) X(s)
9. Derive the transfer function X₂ (s)/F(s) for the mechanical system shown in Figure 2. Assume the following values: M₁ = 3 kg, M₂ = 2 kg, K₁ = 5 N/m, K₁= 3 N/m, D₁ = 1 N.s/m, K₁ oooo OH M₁ oooo K₂ Figure 2 M₂ 1(1)
1)find the body diagram 2)find constitutive equations 3)system equations that govern the behavior of the system
Find the transfer function G(s) =X2 (s) /F (s), for the translational mechanical system shown in Figure (b). x1(1) x2(t) 1 N/m f() I kg 1 N-s/m 1 kg Frictionless Figure. (b)
4. The mechaincal system is shown in the figure. Assume X₁> X2. a) Draw the free body diagram and write all of the elemental equations. b) Write the equation of motion c) Find the transfer function of the system. F(s) is the input, X₁(s) is the output. K₁ K₂ m f(t) X₂ X1
X2(s) 8 Find the Transfer Function G(s) = for the trans- lational mechanical system shown in the Figure. (Hint: place a zero mass at r2(t)). ell 10 kg 2 N/m 5 N-s/m 2 N-s/m 9 For the system in the Figure below, find the Transfer Function G(s) = X1(s) F(s) K= 4 N/m K2= 5 N/m 3 N-s/m M =I kg rz=3 N-s/m M2 = 2 kg fr 2 N-s/m
A liquid storage system is shown below. The normal oper-ating conditions are q1=10 ft3∕min,q2=5ft3∕min,h=4ft.The tank is 6 ft in diameter, and the density of each stream is 60 lb/ft3. Suppose that a pulse change in q1 occurs as shown inFig.(a)What is the transfer function relating H′ to Q′1?(b)Derive an expression for h(t) for this input change.(c)What is the new steady-state value of liquid level h?(d)Repeat (b) and (c) for a change in q1 from 10 to 20 (at t=0) to 15 ft3/min at t=12

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