EBK SYSTEM DYNAMICS3rd EditionPalm Publisher: YUZUISBN: 9780100254961
EBK SYSTEM DYNAMICS
Solutions for EBK SYSTEM DYNAMICS
Problem 4.2P:
In the spring arrangement shown in Figure P4.2. the displacement x is caused by the applied force f....Problem 4.3P:
In the arrangement shown in Figure P4.3, a cable is attached to the end of a cantilever beam. We...Problem 4.4P:
In the spring arrangement shown in Figure P4.4, the displacement x is caused by the applied force f....Problem 4.5P:
For the system shown in Figure P4.5, assume that the resulting motion is small enough to be only...Problem 4.6P:
The two stepped solid cylinders in Figure P4.6 consist of the same material and have an axial force...Problem 4.7P:
A table with four identical legs supports a vertical force. The solid cylindrical legs are made of...Problem 4.8P:
The beam shown in Figure P4.8 has been stiffened by the addition of a spring support. The steel beam...Problem 4.9P:
Determine the equivalent spring constant of the arrangement shown in Figure P4.9. All the springs...Problem 4.10P:
Compute the equivalent torsional spring constant of the stepped shaft arrangement shown in Figure...Problem 4.11P:
Plot the spring force felt by the mass shown in Figure P4.11 as a function of the displacement x....Problem 4.12P:
Calculate the expression for the natural frequency of the system shown in Figure P4.12. Disregard...Problem 4.14P:
Obtain the expression for the natural frequency of the system shown in Figure P4.14. Discount the...Problem 4.15P:
4.15 A connecting rod having a mass of 3.6 kg is shown in Figure P4.15. It oscillates with a...Problem 4.16P:
Calculate the expression for the natural frequency of the system shown in Figure P4.16.Problem 4.17P:
For each of the systems shown in Figure P4.17, the input is the force f and the outputs are the...Problem 4.18P:
The mass m in Figure P4.18 is attached to a rigid lever having negligible mass and negligible...Problem 4.19P:
In the pulley system shown in Figure P4.19, the input is the applied force f, and the output is the...Problem 4.23P:
In Figure P4.23, assume that the cylinder rolls without slipping. The spring is at its free length...Problem 4.24P:
In Figure P4.24 when x1=x2=0 the springs are at their free lengths. Derive the equations of motion.Problem 4.25P:
4.25 In Figure P4.25 model the three shafts as massless torsional springs. When the springs are at...Problem 4.26P:
In Figure P4.26 when 1=2=0 the spring is at its free length. Derive the equations of motion,...Problem 4.28P:
For the system shown in Figure P4.28, suppose that k1=k , k2=k3=2k , and m1=m2=m . Obtain the...Problem 4.29P:
For the system shown in Figure P4.29, suppose that R2=2R1 , m1=m , and m2=2m . The two pulleys share...Problem 4.31P:
For Figure P4.31, the equilibrium position corresponds to x=0 . Neglect the masses of the pulleys...Problem 4.34P:
4.34 For Figure P4.34, assume that the cylinder rolls without slipping and use the Rayleigh method...Problem 4.35P:
Use the Rayleigh method to obtain an expression for the natural frequency of the system shown in...Problem 4.37P:
4.37 Determine the natural frequency of the system shown in Figure P4.37 using Rayleigh’s method....Problem 4.38P:
Determine the natural frequency of the system shown in Figure P4.38 using an energy method. The disk...Problem 4.39P:
Use Rayleigh's method to calculate the expression for the natural frequency of the system shown in...Problem 4.43P:
The vibration of a motor mounted on the end of a cantilever beam can be modeled as a mass-spring...Problem 4.46P:
A certain cantilever beam vibrates at a frequency of 5 Hz when a 30 Ib motor is placed on the beam....Problem 4.48P:
4.48 The static deflection of a cantilever beam is described by
where P is the load applied at...Problem 4.49P:
Figure P4.49 shows a winch supported by a cantilever beam at the stern of a ship. The mass of the...Problem 4.53P:
4.53 In Figure P4.53 a motor supplies a torque T to turn a drum of radius R and inertia I about its...Problem 4.54P:
Derive the equation of motion for the lever system shown in Figure P4.54, with the force f as the...Problem 4.56P:
Figure P4.56a shows a Houdaille damper, which is a device attached to an engine crankshaft to reduce...Problem 4.57P:
4.57 Refer to Figure P4.57. Determine the relations between , , and so that the damper shown in...Problem 4.58P:
For the system shown in Figure P4.58, obtain the equation of motion in terms of . The disk is a...Problem 4.63P:
4.63 In the system shown in Figure P4.63, the input is the force f and the output is the...Problem 4.65P:
Figure P4.65 shows a rack-and-pinion gear in which a damping force and a spring force act against...Problem 4.66P:
Figure P4.66 shows a drive train with a spur-gear pair. The first shaft turns N times faster than...Problem 4.70P:
Figure P4.70 shows a quarter-car model that includes the mass of the seats (including passengers)....Problem 4.72P:
4.72 Derive the equation of motion for the system shown in Figure P4.72. Assume small angles of...Problem 4.73P:
A boxcar moving at 1.3 m/s hits the shock absorber al the end of the track (Figure P4.73). The...Problem 4.74P:
For the systems shown in Figure P4.74, assume that the resulting motion is small enough to be only...Problem 4.75P:
Refer to Figure P4.75a, which shows a ship’s propeller, drive train, engine, and flywheel. The...Problem 4.76P:
In this problem, we make all the same assumptions as in Problem 4.75, but we do not discount the...Problem 4.79P:
Refer to Figure P4.79a, which shows a water tank subjected to a blast force ft . We will model the...Problem 4.80P:
The “sky crane” shown on the text cover was a novel solution to the problem of landing the 2000 lb...Problem 4.84P:
Suppose a mass in moving with a speed 1 becomes embedded in mass after striking it (Figure 4.6.1)....Problem 4.85P:
Consider the system shown in Figure 4.6.3. Suppose that the mass m moving with a speed 1 rebounds...Problem 4.87P:
Figure P4.87 shows a mass m with an attached stiffness, such as that due to protective packaging....Problem 4.88P:
Figure P4.88 represents a drop forging process. The anvil mass is m1=1000 kg, and the hammer mass is...Problem 4.89P:
Refer to Figure P4.89. A mass m drops from a height h and hits and sticks to a simply supported beam...Problem 4.91P:
(a) Obtain the equations of motion of the system shown in Figure P4.25. (b) Suppose the inertias are...Problem 4.92P:
Refer to part (a) of Problem 4.90. Use MATLAB to obtain the transfer functions X1s/Fs and X2s/Fs ....Problem 4.93P:
Refer to Problem 4.91. Use MATLAB to obtain the transfer functions 1s/T2s and 2s/T2s for the values...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
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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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