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### Final_Spring 2002_freq

Course: ME 3015, Fall 2008
School: Georgia Tech
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Word Count: 199

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2002 Spring [1]: In the op-amp circuit shown below, each of the impedances is made up of a resistance and a capacitor in parallel (i.e. Z1 R1 // C1; Z2 R2 // C2). Answer the following questions: 70 60 50 Phase (deg); Magnitude (dB) 40 30 20 100 80 To: Y(1) 60 40 20 0 10-1 100 101 102 103 Frequency (rad/sec) (1) Show that Eo ( s ) as + 1 =K . Derive K, a and b in terms of R1, R2, R3, R4, C1, and C2. Ei (...

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2002 Spring [1]: In the op-amp circuit shown below, each of the impedances is made up of a resistance and a capacitor in parallel (i.e. Z1 R1 // C1; Z2 R2 // C2). Answer the following questions: 70 60 50 Phase (deg); Magnitude (dB) 40 30 20 100 80 To: Y(1) 60 40 20 0 10-1 100 101 102 103 Frequency (rad/sec) (1) Show that Eo ( s ) as + 1 =K . Derive K, a and b in terms of R1, R2, R3, R4, C1, and C2. Ei ( s ) bs + 1 Eo ( s ) Eo ( s ) E ( s ) R4 Z 2 ( s ) 1 + Ri Ci s 1 1 = = - - = + Ci s = , where R and C are in parallel, ( Ei s ) E ( s ) Ei ( s ) R3 Z1 ( s ) Z i Ri Ri Eo ( s ) R4 R2 1 + C1 R1 s R4 R2 = , a = C1 R1 , and b = C2 R2 where K = Ei ( s ) R3 R1 1 + C2 R2 s R3 R1 (2) If the input voltage is ei (t ) = A sin t , what is the output at steady state? R R 1 + ( C1 R1 ) eo (t ) = A G ( j ) sin(t + ) where G ( j ) =...

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Georgia Tech - ME - 3015
Name:_ (Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015 System Dynamics and Control Final Examination (170 minutes, closed-book) December 10, 2002 Please Read This First: (a) (b) (c) (d) (e) PRINT your n
Georgia Tech - ME - 3015
Spring 2003 [5] Consider the unity-feedback system, where G p (s ) is given by the Bode diagram andGc ( s ) = K ( s + 2)(1) (2)(8 pts.) Sketch the Bode diagram of the open-loop transfer function, Gc G p ( s ) , for K=1.(8 pts.) Determine the
Georgia Tech - ME - 3015
Name:_ (Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015A System Dynamics and Control Final Examination (170 minutes, closed-book) Friday, December 12, 2003 Please Read This First: (a) (b) (c) (d) PRINT y
Georgia Tech - ME - 3015
Fall 2003 [4] Figure 4(a) shows the block diagram of a position servo that consists of an electromechanical (EM) actuator.Bode Diagram80 60Magnitude (dB)40 20 0 -20 -40 45 0Figure 4(a) (1) (12 pts.) Sketch the Bode diagram of the plant transf
Georgia Tech - ME - 3015
Fall 2005 [1] Consider a feedback system shown in Figure 1 where G p ( s ) =1 . s ( s + 1)(0.5s + 1)a) With D(s)=0 and Gc ( s ) = 1 , calculate the static velocity error constant and the phase and gain margins. Sketch the bode diagramK v = lim
Georgia Tech - ME - 3015
Name:_ (Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015C System Dynamics and Control Final Examination (170 minutes, closed-book) May 3rd, 2007 (Thursday), 8am-10:50am Please Read This First: (a) PRINT y
Georgia Tech - ME - 3015
ME3015B Quiz 2 (closed book/notes) January 31, 2002Name:_Solutions_ds + f where b, c, d and s + 2bs + c 221. (1 pt) Determine the poles of the complex function X ( s ) = f are real positive constants and c &gt; b .Poles are the solutions of s 2
Georgia Tech - ME - 3015
ME3015B Quiz 3 (closed book/notes) February 19, 2002Name:_Solution_1. (3 pt) Consider the following mechanical system. Assume that the rod is mass less, perfectly rigid, and pivoted at frictionless point P. The displacement x is measured from the
Georgia Tech - ME - 3015
ME3015B Quiz 4 (closed book/notes) March 14, 2002Name:_Solution_1. (3 pt) The thermometer is initially at the ambient temperature C . At t=0, it is immersed in a water bath of temperature + b C . Assume that the thermal resistance and capacitan
Georgia Tech - ME - 3015
ME3015B Quiz 6 (closed book/notes) April 11, 2002Name: Solution1. (2 pts) Consider the following polynomial: s 4 + 2 s 3 + 3s 2 + 4 s + 5 = 0 Compute the coefficients for the third row of the Rouths array.s4 s3 s21 2 1 1 3 (4 6) =1 det =
Georgia Tech - ME - 3015
ME3015B Quiz 7 (closed book/notes) April 18, 2002Name:_Solution_1. (6 pts) The root locus of a unity feedback system with the open-loop transfer function KG(s)H(s) for K 0 isgiven below: (a) Show that the transfer function for the closed-loop
Georgia Tech - ME - 3015
ME3015B Quiz 5 (closed book/notes) October 24, 2002Name:_Solution_1. (5 pts) Consider the mechanical system shown in Figure 1(a). The mass-less bar AA' is displaced 0.05m by a constant force of 100N. Suppose that the system is at rest before the
Georgia Tech - ME - 3015
ME3015B Quiz 5 (closed book/notes) March 24, 2003 1. (4 pts) A mechanical system has a mathematical model:Name:_Solution_d 2x dx 2 2 + 2 n + n x = 0.5 n ( Au + Bu ) where u is a 2 dt dtstep input. The plot below shows the displacement x mm as
Georgia Tech - ME - 3015
ME3015C Quiz 4 (closed book/notes) October 24, 2005Name:_SOLUTIONS_1. (3 pt) The volumetric flow rate q through a variable orifice is given by q = cx p where c is a constant; x is proportional to the opening; and p is the pressure difference acro
Georgia Tech - ME - 3015
ME3015C Quiz 3 (closed book/notes) February 16, 2006Name:_1. (3 pts) Consider the frictionless rack-and-pinion assembly, where the pinion (radius r and inertia J) is driven by the rack (mass m) through an input force f(t). Derive the transfer fun
Georgia Tech - ME - 3015
ME3015C Quiz 5 (closed book/notes) March 30, 2006Name:_Solutions_1. (6 pts) The equation of motion of a mechanical system is given by mx + b( x - p) + kx = 0 , where p and x are the displacements of the input and output respectively. Suppose that
Georgia Tech - ME - 3015
ME3015C Quiz 6 (closed book/notes) April 20, 2006Name:_ _Solution_Consider the root locus of a unity feedback system with the open-loop transfer function KG(s) for K 0.R(s)+ -KG (s)Y(s)Root Locus(a) (2 pt.) Determine the open-loop t
Georgia Tech - ME - 3015
ME3015C Quiz 2 (closed book/notes) September 19, 2006 Name:_ 1. Consider the mechanical system.f(t) k1 m1x1(t) m2 k2x2(t) b2(a) (2 pts) Complete (displacements or velocities and forces) the free-body diagram.b1x0=0 f k1 f b1 k1x1 x1 f k
Georgia Tech - ME - 3015
ME3015C Quiz 6 (closed book/notes) November 30, 2006Name:_Consider the unity feedback system with the open-loop transfer function KG(s) for K 0.R(s)+ -KG (s )Y(s)1. (6 pts) complete the following root locus sketches (No calculation is
Georgia Tech - ME - 3015
ME3015C Quiz 2 (Closed book/notes) February 1, 2007 - Kok-Meng LeeName:_ 1. (6 pts) A simplified representation of a suspension system is shown in Figure 1. We are interested to model the system. a) Complete the free-body diagram (with clearly labe
Georgia Tech - ME - 3015
ME3015C Quiz 3 (closed book/notes) February 15 2007Name:_Solutions_1. (6 pt) Figure 1 shows a schematic diagram of an automobile suspension system, where m1 and k1 represent the wheel mass and stiffness respectively; and the road surface is model
Georgia Tech - ME - 3015
ME3015C Quiz 4 (closed book/notes) March 8, 2007Name:_Solutions_1. (3 pt) The pneumatic actuator consists of two subsystems; namely, a flapper-nozzle valve and a piston-cylinder. R and Rv are the linearized fixed and variable resistors respecti
Georgia Tech - ME - 3015
ME3015C Quiz 5 (closed book/notes) March 29, 2007 Name:_Solutions_ d 2x dx 2 2 + n x = an u , where u is a unit-step input. 1. (6 pts) A mechanical system has a model: 2 + 2n dt dt (a) The plot below shows the displacement x mm as a function of time.
Georgia Tech - ME - 3015
ME3015 Quiz 6 (closed book/notes) April 24, 2007Name:_Solutions_For both problems, consider the unity feedback system with the open-loop transfer function KG(s) for K 0. R(s) + -2KG(s)Y(s)Root Locus 3KG ( s ) = Ks + 0.5 s 2 ( s + 3)
Georgia Tech - ME - 3015
ME3015C Quiz 2 (closed book/notes) September 20, 2007Name:_Solutions_Figure 1 shows a schematic diagram of an automobile suspension system, where m1 and k1 represent the wheel mass and stiffness respectively; the road surface is modeled as a disp
Georgia Tech - ME - 3015
ME3015C Quiz 3 (closed book/notes) October 3, 2007Name:_Solutions_1. (6 pts) A torque T is applied to an ideal rack-and-pinion (of radius r and negligible moment of inertia Jp=0) to move a machine table (of mass m) against a compliant load that c
Georgia Tech - ME - 3015
ME3015 Quiz 4 (closed book/notes) October 25, 2007Name:_Solutions_1. (7 pts) In the fluid jack shown below, the mass of the combined piston and load is m. There is no leakage and no mechanical friction between the piston and cylinder. Derive the
Georgia Tech - ME - 3015
ME3015 Quiz 5 (closed book/notes) November 5, 2007Name:_Solutions_1. (6 pts) The equation of motion of a mechanical system is given by bx + kx = p(t ) , where p and x are the displacements of the input and output respectively. Suppose that p (t )
Georgia Tech - ME - 3015
ME3015A Quiz 6 (closed book/notes) November 29, 2007Name:_ _Consider the following unity feedback system with the open-loop transfer function KG(s) for K 0.R(s)+ -KG (s )Y(s)1. (4 pts) Given KG(s) =K s + 3s 2 + 2 s3. Determine t
Georgia Tech - ME - 3015
ME3015B Quiz 2 (closed book/notes) January 31, 2008Name:_Solutions_1. Consider a schematic of a cable car of mass m1 with a payload of mass m2 in Figure 1. (a) (3 pts) Complete (displacements or velocities and forces) the free-body diagram.u(t)
Georgia Tech - ME - 3015
ME3015B Quiz 3 (closed book/notes) February 14, 2008Name:_Solutions_1. A commonly used winch mechanism (radii r1 and r2) shown on the right is modeled as an ideal transformer. Assume the system is initially at rest. a) (1pts) Write the pair of eq
Georgia Tech - ME - 3015
ME3015 Quiz 4 (closed book/notes) March 6, 2008Name:_Solutions_1. Consider the following fluid system, where hs is the supply pressure head; I and R1 are the inertance and resistance of the pipe; and Ro is the linearized flow resistances; and the
Georgia Tech - ME - 3015
ME3015B Quiz 5 (closed book/notes) March 27, 2008Name:_Solutions_1. Consider a dynamic system represented mathematically by mx + bx + kx = kp . (a) (4 pts) Express the sinusoidal transfer function G ( j ) = X ( j ) / P( j ) in the form G ( j ) =
Georgia Tech - ME - 3015
Name:_SOLUTION_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015 System Dynamics and Control First mid-term: February 26, 2002 You need to show all the work clearly. Only answers or partial steps are
Georgia Tech - ME - 3015
Name _(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015 System Dynamics and Control First mid-term: October 1, 2002 You need to show all the work clearly. Only answers or partial steps are not acceptable
Georgia Tech - ME - 3015
Georgia Tech - ME - 3015
Name:_Solutions_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015 System Dynamics and Control Second mid-term: November 12, 2002 You need to show clearly all the work. Only answers or partial steps ar
Georgia Tech - ME - 3015
Name _Solutions_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015B System Dynamics and Control Second mid-term: April 3, 2003 You need to show all the work clearly. Only answers or partial steps are not
Georgia Tech - ME - 3015
ME3015A System Dynamics and Control, Second mid-term: November 18, 2003 (Kok-Meng Lee)Name:_Solution_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015A System Dynamics and Control Second mid-term: Novem
Georgia Tech - ME - 3015
Name:_SOLUTION_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015A System Dynamics and Control Second mid-term: March 31, 2005 You need to show clearly all the work. Only answers or partial steps are n
Georgia Tech - ME - 3015
Name _Solutions_ _(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015C System Dynamics and Control First mid-term: October 11, 2005 You need to show all the work clearly. Only answers or partial steps a
Georgia Tech - ME - 3015
Name _Solutions_ _(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015C System Dynamics and Control First mid-term: February 23, 2006 You need to show all the work clearly. Only answers or partial steps
Georgia Tech - ME - 3015
Name:_Solution_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015C System Dynamics and Control Second mid-term: April 6, 2006 You need to show clearly all the work. Only answers or partial steps are no
Georgia Tech - ME - 3015
Name _ _(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015C System Dynamics and Control First mid-term: October 5, 2006 You need to show all the work clearly. Only answers or partial steps are not acce
Georgia Tech - ME - 3015
Name:_Solutions_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015C System Dynamics and Control Second mid-term: November 16, 2006 You need to show clearly all the work. Only answers or partial steps a
Georgia Tech - ME - 3015
Name _ Solutions_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015A System Dynamics and Control First mid-term: February 27, 2007 You need to show all the work clearly. Only answers or partial steps a
Georgia Tech - ME - 3015
Name:_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015 System Dynamics and Control Second mid-term: April 10, 2007 You need to show clearly all the work. Only answers or partial steps are not accepta
Georgia Tech - ME - 3015
Name _Solutions_ _(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015C System Dynamics and Control First mid-term: October 15, 2007 You need to show all the work clearly. Only answers or partial steps a
Georgia Tech - ME - 3015
Name:_Solutions_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015 System Dynamics and Control Second mid-term: November 15, 2007 You need to show clearly all the work. Only answers or partial steps ar
Georgia Tech - ME - 3015
Name _Solutions _(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015 System Dynamics and Control First mid-term: February 21, 2008 You need to show all the work clearly. Only answers or partial steps ar
Georgia Tech - ME - 3015
Name:_Solutions_(Please Print) Georgia Institute of Technology Woodruff School of Mechanical Engineering ME3015 System Dynamics and Control Second mid-term: April 2, 2008 You need to show clearly all the work. Only answers or partial steps are no
St. Mary's CA - MATH - 185
Math 185 Assignment 11 Due Wednesday Nov 221. Find the maximum of |ez | on |z| 1. 2. Find the maximum of cos z on A = {a + ib | 0 a 2, 0 b 2}. 3. Give an example to show that the interpretation of the maximum modulus principal that reads &quot;The a
Washington - PHYS - 42909
PHYSICS 429: Introduction to Biological Physics May 25 2009 Problem Set 8. The last one! These problems are due on Thursday, June 4.Problems are from the class text Physical Biology of the Cell or given explicitly. 1. 12.2 2. Blood Flow You heart p
St. Mary's CA - MATH - 185
Math 185 Assignment 9 Due Friday Nov 31. Needham page 420 # 5,6, 18 2. Evaluate the following integrals: (a) (b) (c) (d)C C C Cz 3 + 3 dz where C is the upper half of the unit circle. z 3 + 3 dz where C is the unit circle. e1/z where C is the cir
St. Mary's CA - MATH - 185
Math 185 Assignment 8 Due Friday Oct 271. Evaluate the following: (a) (b) (c) Re(z) dz where zt traverses a line segment joining 0 to i and then zt i to i + 2. (z 2 + 2z + 3) dz where zt is the straight line segment joining 1 to 2 + i.ztdz where
Maple Springs - CSE - 6590
The text book states that Poisson arrival tends to smooth out as we viewthe arrival at a higher granularity while self similar traffic does not.prove that statement using simulation (that is not really a proof,but rather to show that the statemen
Syracuse - CIS - 556
1. (31 points) Suppose that the following denitions have been made:x : [Int] x = [ w*10 | w &lt;- [5 . 10], u : Int u = 6 g, h : Int -&gt; [Int] g i = [i] h = g . (\ w -&gt; w + 1) test test test test : [a] -&gt; Int (p:ps) = 1 (p:q:qs) = 2 _ = 3 even w ](a)
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BUS 425, Mutual Fund ManagementHedge Fund Project, AY 2007 (posted: 30-Mar; 1:00 p.m.) Hedge Fund The purpose of this assignment is to create a hedge fund from your groups existing equity mutual fund. The desired outcome of the project is directed a
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data list free /hours.Begin data.21.9622.8128.1823.8722.6525.3923.8118.3620.2022.6919.3821.9818.6925.1120.9026.8921.7424.1220.8224.5123.6925.7921.2324.2321.2021.6123.6825.4021.1125.2126.1121
Temple - PSYCH - 522524
DATA LIST FREE / group memory.BEGIN DATA.1 62 53 64 31 5 2 33 94 71 72 13 94 61 52 53 44 31 32 33 54 41 42 43 64 7END DATA.Value labels group 1 '6 year old - Training' 2 '6 year old - Control' 3 '8 year old
Virginia Tech - MATH - 1624
Secret Name1 HW 11 K-61 Lab 11 HW 21 HW31 K-61 Lab 21 HW 41 HW 51 K-61 HW 650 Test 1Ann Archie Audrey H. Buddy Carlton Chloe Dawn Elyse Fabio Haleiwa Im awesome! Jennsta JoJo Kay LB Leigh Lindamood Marie N. Nicole Penelope P