Archives: Solution Manual

419 Problem Set 10.1 1. Draw a block diagram for the feedback control of a liquid-level system, which consists of a valve with a control knob (0–100%) and a liquid-level sensor. Clearly label essential components and signals. Solution 2. Draw […]

21. a. The relevant redox reactions are: Given that organic matter is being oxidized to CO 2 at a rate equivalent to 1 mM/day, and 1 mol O 2 oxidizes 1 mol CH 2 O, oxygen can be used as […]

399 % modal response to external excitations f0 = [0.15 0 0]’; omega = 0.15; figure(1); 020 40 60 80 100 -5 020 40 60 80 100 -1 0 5x 10 1 0 1x 10 1 -5 q 020 40 […]

CHAPTER 3 SOLUTIONS 1. a. Using Eq. (3.2): b. Using Eq. (3.5): v¼qa n¼1104cm=sec 0:2¼5104cm=sec c. Transmissivity is the product of an aquifer’s hydraulic conductivity and its thickness: T¼5103cm=sec5m1m 100 cm ¼2:5104m2=sec Discharge per unit of distance perpendicular to the […]

379 Problem Set 9.1 1. A lightly damped single-degree-of-freedom system is subjected to free vibration. The response of the system is shown in Figure (VWLPDWHWKHYDOXHRIWKHYLVFRXVGDPSLQJUDWLRȗ. Figure 9.5 Problem 1. Solution Note that the first and fifth peak displacements are about […]

c. From Eq. (2.56), the methanogenic reaction occurring is: 43. From Eq. (2.41): Alk ¼CBCA Given that the concentrations of base cations are assumed negligible, the above equation can be written: Alk ¼CA¼103:52 eq=liter ¼NO3 ½þ2SO 42  Given that […]

365 Figure PS8-5No11 12. A nonlinear dynamic system model is derived as 3 2 ( ) , (0) 0 , 0 3xxutx t dd  where ()ut is the unit-step function. (a) Build the Simulink model and use it to […]

28. From Fig. 2.37, the Earth’s surface receives wavelengths of 0.3 mm (300 nm) and above. Thus, only aniline will absorb sunlight and potentially degrade by direct photodegradation; the anilinium ion will not. A water treatment scheme using sunlight should […]

351 In Problems 5 through 10 determine the state vector via the formal-solution approach. 5. 21 1 0 , unit-step function , (0) 42 2 1 uu  ªºªº ½  ®¾ «»«»  ¬¼¬¼ ¯¿ xx x  Solution […]

CHAPTER 2 SOLUTIONS 1. Note that the figure showing conductivity versus time is not completely symmetrical; instead, it exhibits tailing. Thus, the solutions below are approximate. The asymmetry may occur due to several reasons. First, the cloud of salt is […]

331 Figure PS8-2No21-1 Figure PS8-2No21-2 22. The equations of motion of a mechanical system are given below, where ()t G denotes the unit-impulse. Assuming zero initial conditions, plot the response 1()xt by (a) Simulating the Simulink model of the system. […]

Solutions Manual Online CHAPTER 1 SOLUTIONS 1. From Table A.10 in the Appendix, first obtain the atomic weights of the elements composing SO42: 2. From Table A.10 in the Appendix, the atomic weights of the elements composing SO 2 are: […]

311 Problem Set 8.1 1. Consider a first-order system with time constant W and zero initial condition. Find the system’s unit-impulse response for 1 4 W and 1 2 W , plot the two curves versus 02tdd in the same […]

298 Solution a. The characteristic length of the junction is 3 4 body 3 c2 surface ʌ1 0.001 4ʌ  Vr Lr Ar The Biot number of the junction is Thus, the junction can be treated as a lump-temperature system, […]

285 Problem Set 7.1 1. A car has an internal volume of 2.8 m3. If the sun heats the car from a temperature of 20°C to a temperature of 40°C, what will the pressure inside the car be? Assume the […]

274 which can be rearranged and gives the second equation 122 22 111 0vvv RRL   or 1222 0Lv Lv R v   b. Replacing the passive elements with their impedance representations gives the circuit in the sdomain […]

262 Figure 6.74 Problem 6. Solution The transfer function Vo(s)/Vi(s) is MATLAB Figures Problem 1 i(t) vC(t) V + – Voltage Sensor Switch f(x)=0 Solver Configuration Simulink–PS Converter Scope Re si st o r PS-Simulink Converter Electrical Reference DC Voltage […]

242 Figure 6.38 Problem 2. Solution Because the current drawn by the op-amp is very small, i.e., 0ii  || , we have at node 1, 12 ii o 1 12 vv vv RR    or 21 1o […]

222 Problem Set 6.1 1. Determine the equivalent resistance Req for the circuit shown in Figure 6.8. Figure 6.8 Problem 1. Solution The equivalent resistance for the parallel-connected resistors R1and R3is eq1 1 3 111 RRR  or 13 eq1 […]

208 Figure Review5 No3 b. Taking the Laplace transform of both sides of the preceding equation with zero initial conditions results in 2 eq () 1 () Xs Fs ms k  c. The state, the input, and the output […]

194 b. Using the differential equation obtained in Part (a), determine the state–VSDFHUHSUHVHQWDWLRQ8VHșa,ș1Ȧa, DQGȦ1as tKHVWDWHYDULDEOHVDQGXVHș2DQGȦ2as the output variables. Figure 5.99 Problem 4. Solution a. Assume that a1 șș!! . The free-body diagram is shown below. Applying the moment equation to […]

15. Consider the system shown in Figure 5.73, where a uniform sphere of mass mand radius rrolls along an inclined plane of 30°. A translational spring of stiffness kis attached to the sphere. Assuming that there is no slipping between […]

154 Rearranging the equations, we have 11 11 1 2 1 2 2 1 ()mx bx k k x k x f    22 21 2 3 2 2 ()mx kx k k x f  b. The […]

134 Problem Set 5.1 1. If the 50–kg block in Figure 5.12 is released from rest at A, determine its kinetic energy and velocity after it slides 5 m down the plane. Assume that the plane is smooth. Figure 5.12 […]

120 2 12 12 (2 1) 3 (3 2) 0 ss X X F XsX   ° ®  ° ¯ Solve for 1 X : 2. A dynamic system with input f and output x is described by […]

20. The block diagram representation of a system model is presented in Figure 4.33, where U, 1 X ,2 X , and Y denote the Laplace transforms of the input, the two state variables, and the output. (a) Derive the […]

85 18. Electric charge qand electric current i are related via /idqdt . In Problem 17, find the transfer function if ()qt and ()vt are the system output and input, respectively. Solution Noting /idqdt , the governing equation can be […]

65 Problem Set 4.1 In Problems 1–10 express the system model, assuming general initial conditions, in (a) Configuration form, (b) Standard, second-order matrix form. 1. 11 12 1 22 12 2 2( ) 10 2( ) 0 t xx xx […]

50 5. 110 220 001 ªº «» «» «» ¬¼ A Solution (a) Block diagonal matrix; () 0,1,3 O A . For 10 O we solve >@ 111 110 0 1 2 2 0 0 1 001 0 0  […]

35 Problem Set 3.1 In Problems 1–8 perform the indicated operations, if defined, for the vectors and matrices below. 0 30 2 1 0 1 , , , 1 12 15 4 2 3 ½  ªº ª º ½ […]

23 In Problems 19–24, (a) Find the inverse Laplace transform using the partial-fraction expansion method. (b) Repeat in MATLAB. 19. 34 (1) s ss   Solution (a) Expand as 34 34 ( ) 41 (1) 1 (1) AB A […]

11 Problem Set 2.1 In Problems 1–4, (a) Perform 12 /zz and express the result in rectangular form, (b) Verify that 12 1 2 //zz z z , (c) Repeat Part (a)in MATLAB. 1.3 2 j j  Solution (a) […]

1 Review Problems 1. Write a user-defined function with function call C=temp_conv(F) that converts the temperature from Farenheit Fto Celsius C. Execute the function for the case of F = 86. Solution function C = temp_conv(F) C = (F-32)*100/180; 2. […]

Problem 14.1 Three alternatives are being evaluated based on six different attributes, all of which are considered of equal importance. Determine the weight to assign to each attribute. Problem 14.2 A consultant asked a corporate president to assign importance values […]

Problem 13.1 For a corporation that has a taxable income of $250,000 for federal tax computation, determine (a) the marginal tax rate, (b) the total taxes, and (c) the average tax rate. Problem 13.2 In its first year of operation, […]

Problem 12.1 How does depreciation affect income taxes? Problem 12.2 What are three depreciable costs that are included in an asset’s basis? Problem 12.3 What is the difference between book value and market value? Problem 12.4 There are 3 different […]

Problem 11.1 For cost estimation purposes, there are several elements of the first cost component P. List three of them. Problem 11.2 When competition is the dominant factor in pricing a product or service, what is the best cost estimation […]

Problem 10.1 How do you convert inflated dollars into constant-value dollars? Problem 10.2 Find the inflation rate necessary for something to cost exactly twice as much as it did 10 years earlier. Problem 10.3 In an inflationary period for a […]

Problem 9.1 Briefly explain what is meant by the defender/challenger concept. Problem 9.2 List three reasons why a replacement study might be needed. Problem 9.3 In conducting a replacement study of assets with different lives, can the annual worth values […]

Problem 8.1 The fixed costs at Harley Motors are $1 million annually. The main product has revenue of $9.90 per unit and $4.50 variable cost. Determine the following: a. Breakeven quantity per year b. Annual profit if 150,000 units are […]

Problem 7.1 In conducting a B/C analysis, why is it best to take a limited viewpoint in determining benefits and disbenefits? Problem 7.2 Identify the following as primarily public or private sector projects. a. Bridge across Ohio River b. Coal […]

Problem 6.1 In percent, what is (a) the highest, and (b) the lowest rate of return that is possible? Problem 6.2 When interest is charged on the unrecovered balance, if you borrow $10,000 at 10% per year interest and repay […]

Problem 5.1 Heyden Motion Solutions ordered $7 million worth of seamless tubes for manufacturing their high performance and precision linear motion products. If their annual operating costs are $860,000 per year, how much annual revenue is required over a 3-year […]

Problem 4.1 State two conditions under which the do-nothing alternative is not an option. Problem 4.2 When evaluating projects by the present worth method, how do you know which one(s) to select, if the (a) projects are independent, and (b) […]

Problem 3.1 For an interest rate of 2% per quarter, determine the nominal interest rate per (a) semiannual period; (b) year; and (c) 2 years. Problem 3.2 Identify each of the following interest rate statements as either nominal or effective. […]

Problem 2.1 Find the correct numerical value for the following factors from the interest tables: a. (F/P,10%,20) b. (A/F,4%,8) c. (P/A,8%,20) d. (A/P,20%,28) e. (F/A,30%,15) Problem 2.2 What is the present worth of $30,000 in year 8 at an interest […]

Problem 1.1 Discuss the importance of alternative identification in the engineering economic process. Problem 1.2 Which of the following would be considered noneconomic factors in deciding which type of power plant to build: (a) equipment cost; (b) morale; (c) goodwill; […]

47 Developing the Learning Experience DESIGNING AN EFFECTIVE LESSON PLAN Whereas Choices & Connections is an important tool for thinking about the key elements that students should be exposed to in their studies, learning outcomes are achieved largely by the […]

28 Developing the Course Structure CLASSROOM POLICIES Decisions about classroom policies are driven by two primary factors. First, institutions typically issue academic policy statements on academic dishonesty, the Americans with Disabilities Act accommodation provisions, academic grievances, and the like. Familiarize […]

15 GROUP ASSIGNMENTS AND PAPERS Group assignments are a staple in introduction to communication classes but are often difficult to assess. Simple activities may only warrant participation points, which can be used as a deterrent against missing class. More involved […]