EBK SYSTEM DYNAMICS3rd EditionPalm Publisher: YUZUISBN: 9780100254961
EBK SYSTEM DYNAMICS
Solutions for EBK SYSTEM DYNAMICS
Problem 7.2P:
Refer to the water storage and supply system shown in Figure 7.1.2. The cylindrical tank has a...Problem 7.4P:
In Figure P7.4 the piston of area A is connected to the axle of the cylinder of radius R. mass nt,...Problem 7.5P:
Refer to Figure 7.1.4a. and suppose that p\ — p2= 10 lb/in.2, A = 3 in.2, and mg = 600 lb. If the...Problem 7.6P:
Pure water flows into a mixing tank of volume V = 300 nT at the constant volume rate of 10 m3/s. A...Problem 7.7P:
Consider the mixing tank treated in Problem 7.6. Generalize the model to the case where the tank’s...Problem 7.8P:
Derive the expression for the fluid capacitance of the cylindrical tank shown in Figure P7.8.Problem 7.11P:
7.11 Derive the expression for the capacitance of the container shown in Figure P7.9.Problem 7.12P:
Air flows in a certain cylindrical pipe 1 m long with an inside diameter of 1 mm. The pressure...Problem 7.13P:
Derive the expression for the linearized resistance due to orifice flow near a reference height hr.Problem 7.14P:
Consider the cylindrical container treated in Example 7.4.3. Suppose the outlet flow is turbulent....Problem 7.15P:
A certain tank has a bottom area A = 20 m2. The liquid level in the tank is initially 5 m. When the...Problem 7.16P:
A certain tank has a circular bottom area A = 20 ft2. It is drained by a pipe whose linear...Problem 7.17P:
The water inflow rate to a certain tank was kept constant until the water height above the orifice...Problem 7.20P:
In the liquid level system shown in Figure P7.20, the resistances R | and /?i are linear, and the...Problem 7.21P:
The water height in a certain tank was measured at several times with no inflow' applied. See Figure...Problem 7.22P:
Derive the model for the system shown in Figure P7.22. The flow rate qmiis a mass flow rate and the...Problem 7.23P:
(a) Develop a model of the two liquid heights in the system shown in Figure P7.23. The inflow rate...Problem 7.25P:
Design a piston-type damper using an oil with a viscosity at 20°C of // 0.9 kg/(m • s). The desired...Problem 7.27P:
7.27 An electric motor is sometimes used to move the spool valve of a hydraulic motor. In Figure...Problem 7.30P:
Figure P7.3O shows an example of a hydraulic accumulator, which is a device for reducing pressure...Problem 7.38P:
(a) Determine the capacitance of a spherical tank of radius R, shown in Figure P7.38. (b) Obtain a...Problem 7.39P:
Obtain the dynamic model of the liquid height It in a spherical tank of radius R. shown in Figure...Problem 7.46P:
The copper shaft shown in Figure P7.46 consists of two cylinders w ith the following dimensions: —...Problem 7.47P:
A certain radiator wall is made of copper with a conductivity k — 47 lb/sec-°F at 212°F. The wall is...Problem 7.48P:
A particular house wall consists of three layers and has a surface area of 30 m2. The inside layer...Problem 7.49P:
A certain wall section is composed of a 12 in. by 12 in. brick area 4 in. thick. Surrounding the...Browse All Chapters of This Textbook
Chapter 1 - IntroductionChapter 2 - Dynamic Response And The Laplace Transform MethodChapter 3 - Modeling Of Rigid-body Mechanical SystemsChapter 4 - Spring And Damper Elements In Mechanical SystemsChapter 5 - Block Diagrams, State-variable Models, And Simulation MethodsChapter 6 - Electrical And Electromechanical SystemsChapter 7 - Fluid And Thermal SystemsChapter 8 - System Analysis In The Time DomainChapter 9 - System Analysis In The Frequency DomainChapter 10 - Introduction To Feedback Control Systems
Sample Solutions for this Textbook
We offer sample solutions for EBK SYSTEM DYNAMICS homework problems. See examples below:
Concept Used: 1 slug = 32.2 pounds. 32.2 lb = 143 N. 1 lb = 0.453592 kg. Calculation: The weight of...Given Information: Function f(θ)=sinθ Consider the following data. Function f(θ)=sinθ Angles, θ=π4...Given Information: Data is given by: x:2530354045y:02505007501000. Calculation: From the given data...Given: Half-life of carbon -14 is 5500 years Concept Used: Fraction of carbon -14 remaining time at...Given: yy¨+5y˙+y=0. Concept Used: An ordinary differential for y=y(t) is said to be linear if it can...Given: F(s)=6s2+9. Concept Used: Laplace transform of function f(t) is defined as...Given: F(s)=5ss2+9. Concept Used: Laplace transform of function f(t) is defined as...Given: The signal in frequency domain is given as shown below. X(s)=6s(s+4) Concept Used: The...Given: The given equation is as: x¨+8x˙+15x=30 With initial conditions as follows: x(0)=10 and...
Given: The given model equations are as: x˙=−4x+2y +f(t)and y˙=−9y−5x+g(t). Concept Used: Laplace...Given: The given model equation is as: 7x˙+5x=4g˙(t) Where, g(t)=us(t) and the initial conditions...Given: m=2,a=g, s=h and u=0 The height of the platform from the ground is 10 feet. The height of the...Given: Weight of a rear wheel = 500 lb. Weight of front wheel = 800 lb. Weight of the body = 9000...Given: Roller radius = R Inertia of roller = mR22 Mass of roller = m Weight of roller = 800N...Given: Wheel radius, R = 0.05m Mass of rod, m = 20kg Length of rod, L = 1.4m Mass of the wheel is...Given: Friction of the pivot and mass of the scale arm are neglected. Concept used: For an objects’...Given information: The number of turn in a coil is 6, the diameter of the coil is 4 in, the diameter...Write the expression for equality condition of potential energy and kinetic energy for Rayleigh’s...Given information: The mass of the block on an inclined plane is 50 kg, the angle of inclination is...Given information: The value of step function is 5000 and the equation of motion is...Given information: The damping coefficient is c and friction is negligible. The figure below shows...Figure (1) shows the free body diagram of the system. Figure-(1) Consider a point A on the system...Figure (1) shows the free body diagram of the system shown in part (a). Figure-(1) Here, the...Given: A spring with stiffness k, and a damper with damping coefficient c, are attached to a...Given: A spring with stiffness k, and a damper with damping coefficient c, are attached to a...Given: The masses are m1=20 kg and m2=60 kg The spring constant are k1=3×104 N/m and k2=6×104 N/m...Given: The given block diagram is as shown in figure (i). Concept Used: The given block diagram is...Given: The block diagram for the model with input R(s) and the output as C(s). Concept Used: The...Given: The transfer function of the system is as shown: Y(s)F(s)=s+2s2+4s+3 With given initial...Given information: The given relation between the voltage and current is, vs=Rei All resistors are...Given: The speed control system for the field-controlled motor has been given as shown in figure 1:...Given information: The given parameters for the armature-controlled motor are as follows: KT=Kb=0.05...Given: The given parameters for an armature-controlled motor are as: Kb=KT=0.2 N⋅m/A, c=5×10−4...Given: The electrical and mechanical sub-system of the speaker system is shown in figure below:...Given information: The area of the left side is 10 in2, the area of right side is 30 in2, the weight...Calculation: The figure below shows the pump curve and the line for steady-state flow. Figure-(1)...Calculation: Write the radial resistance of the pipe. Rp=ln(rori)2πkL...... (I) Here, the inner...Given information: The initial temperature of water is 120°F, the length of copper pipe is 6 ft,...Calculation: Write the expression for the rate of heat transfer in terms of total thermal...Calculation: Write the expression for the thermal capacitance of the first mass. C1=dq1dT1dq1=C1dT1...Given: The equation of motion for the rocket sled is, 6v˙=2700−24v v(0)=0 Concept Used: Use Laplace...Given information: The given model equation is as: 2x˙+x=10f(t) With initial conditions as follows:...Given: The given model equation is as: x¨+4x˙+8x=2us(t) With initial conditions as follows: x(0)=0...Given: The given model equation is as: 3x¨+21x˙+30x=f(t) With initial conditions as follows: x(0)=0...Given: The given model equation is as: 3x¨+21x˙+30x=4t With initial conditions as follows: x(0)=0...Given Information: Transfer function is given by, T(s)=Y(s)F(s)=2514s+18. Input signal is,...Given: T(s) =8s(s2+10s+100), f(t)=6sin9t. Concept Used: Using the final value theorem Calculation:...Given: The circuits are as shown below: Concept Used: Kirchhoff’s current and voltage laws are...Given: The displacement produced by the cam is given by the following figure Figure 1 Figure 2 Where...Given: To consider a Traffic light as a device A device or process is said to be in a closed loop if...Given: The proportional integral controller of the first order plant is as shown below: Where, the...Given: The proportional integral controller of first order plant is as shown below: Where, the...Given: The I controller with an internal feedback loop of first order plant is as shown below:...Given: The I controller with an internal feedback loop of first order plant is as shown below:...Given: The proportional integral controller of first order plant is as shown below: Where, the...Given: The proportional integral controller of first order plant is as shown below: Where, the...Given information: The characteristic equation is given as 3s2+12s+k=0 for k≥0. Concept Used: Root...Given: 1+G(s)H(s)=s(s+5)+K for K≥0. Concept Used: Root Locus technique. Calculation: The...Given: 1+G(s)H(s)=s(s+5)+K for K≥0. Concept Used: Root Locus technique. Calculation: The...Given: The equation is Gp(s)=4p(s2+4ζs+4)(s+p). ζ=0.5,p=1. Concept Used: Ultimate cycle technique of...Given information: The transfer function of the plant is Gp(s)=Θ(s)Φ(s)=15s2−6. For a closed loop...Given: m=0.5 kgk=500 N/mY=4 mmf=3 Hz Concept Used: Displacement transmissibility. Calculation: The...Given information: The main mass is m1. Write the expression for force of mass 1....Given information: The main mass is m1. Write the expression for force of mass 1....Given information: The stiffness of suspension 1 is 1.95×104 N/m, the stiffness of the suspension 2...
More Editions of This Book
Corresponding editions of this textbook are also available below:
System Dynamics
1st Edition
ISBN: 9780073016030
System Dynamics (mcgraw-hill Mechanical Engineering)
1st Edition
ISBN: 9780256114492
SYSTEM DYNAMICS (OPTIONAL PRINT UPGRADE)
4th Edition
ISBN: 9781264262250
SYSTEM DYNAMICS (LOOSELEAF)
4th Edition
ISBN: 9781260443981
SYSTEM DYNAMICS
4th Edition
ISBN: 9780078140051
SYSTEM DYNAMICS CONNECT
4th Edition
ISBN: 9781265781651
SYSTEM DYNAMICS CONNECT W/LL COMBO
4th Edition
ISBN: 9781265824532
SYSTEM DYNAMICS (LOOSELEAF)-W/CONNECT
4th Edition
ISBN: 9781264094042
SYSTEM DYNAMICS-CONNECT ACCESS
4th Edition
ISBN: 9781260443950
EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
System Dynamics
3rd Edition
ISBN: 9780073398068
System Dynamics
3rd Edition
ISBN: 9780077509125
SYSTEM DYNAMICS>LOOSELEAF<
3rd Edition
ISBN: 9781260163087
System Dynamics (Looseleaf) (Custom)
14th Edition
ISBN: 9781259114151
SYSTEM DYNAMICS CONNECT
3rd Edition
ISBN: 9781264201730
SYSTEM DYNAMICS LL+CONNECT
3rd Edition
ISBN: 9781264201891
System Dynamics
2nd Edition
ISBN: 9780071267793
System Dynamics
2nd Edition
ISBN: 9780073529271
System Dynamics
2nd Edition
ISBN: 9780077417260
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