EBK SYSTEM DYNAMICS3rd EditionPalm Publisher: MCGISBN: 8220100254963
EBK SYSTEM DYNAMICS
Solutions for EBK SYSTEM DYNAMICS
Problem 3.2P:
A baseball is thrown horizontally from the pitcher’s mound with a speed of 90 mph. Neglect air...Problem 3.3P:
For the mass shown in Figure 3.1.3b. m=10 kg, =25 , v0=2 m/s, And =0.3 . Determine whether the mass...Problem 3.4P:
A particle of mass m=19 kg slides down a frictionless ramp starting from rest (see Figure P3.4)....Problem 3.5P:
A particle of mass m slides down a frictionless ramp starting from rest (see Figure P3.4). The...Problem 3.6P:
A radar tracks the flight of a projectile (see Figure P3.6). At time t, the radar measures the...Problem 3.7P:
Table 3.2.1 gives the inertia IO for a point mass in rotation. Suppose instead that a sphere of...Problem 3.8P:
A motor supplies a moment M to the pulley of radius R1 (Figure P3.8). A belt connects this pulley to...Problem 3.9P:
Figure P3.9 shows an inverted pendulum. Obtain the equation of motion in terms of the angle .Problem 3.10P:
The two masses shown in Figure P3.10 are released from rest. The mass of block A is 100 kg; the mass...Problem 3.11P:
The motor in Figure P3.11 lifts the mass mL by winding up the cable with a force FA . The center of...Problem 3.12P:
Instead of using the system shown in Figure 3.2.6a to raise the mass m2 . An engineer proposes to...Problem 3.13P:
Consider the cart shown in Figure P3.13. Suppose we model the wheels as solid disks. Then the wheel...Problem 3.14P:
Consider the cart shown in Figure P3.13. Suppose we model the wheels as solid disks. Then the wheel...Problem 3.15P:
Consider the spur gears shown in Figure P3.15, where I1=0.3kgm2 and I2=0.5kgm2 . Shaft 1 rotates...Problem 3.16P:
Consider the spur gears shown in Figure P3.15, where I1=0.1kgm2 and I2=2kgm2 . Shaft 1 rotates twice...Problem 3.17P:
Derive the expression for the equivalent inertia Ie felt on the input shaft, for the spur gears...Problem 3.19P:
The geared system shown in Figure P3.19 represents an elevator system. The motor has an inertia I1...Problem 3.23P:
For the geared system shown in Figure P3.23, assume that shaft inertias and the gear inertias I1 ,...Problem 3.24P:
For the geared system discussed in Problem 3.23, shown in Figure P3.23, the inertias are given in...Problem 3.25P:
The geared system shown in Figure P3.25 is similar to that used in some vehicle transmissions. The...Problem 3.26P:
Consider the rack-and-pinion gear shown in Figure P3.20. Use the free-body diagram method to obtain...Problem 3.28P:
The lead screw (also called a power screw or a jack screw) is used to convert the rotation of a...Problem 3.30P:
Derive the equation of motion of the block of mass m1 in terms of its displacement x (see Figure...Problem 3.31P:
Assume the cylinder in Figure P3.31 rolls without slipping. Neglect the mass of the pulleys and...Problem 3.35P:
A slender rod 1.4 m long and of mass 20 kg is attached to a wheel of mass 3 kg and radius 0.05 m. as...Problem 3.38P:
The pendulum shown in Figure P3.38 consists of a slender rod weighing 3 lb and a block weighing 10...Problem 3.40P:
A single link of a robot arm is shown in Figure P3.40. The arm mass is m and its center of mass is...Problem 3.41P:
3.41 It is required to determine the maximum acceleration of the rear-wheel-drive vehicle shown in...Problem 3.42P:
Figure P3.42 illustrates a pendulum with a base that moves horizontally. This is a simple model of...Problem 3.43P:
Figure P3.43 illustrates a pendulum with a base that moves. The base acceleration is at . Derive 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
Book Details
System Dynamics includes the strongest treatment of computational software and system simulation of any available text, with its early introduction of MATLAB® and Simulink®. The text's extensive coverage also includes discussion of the root locus and freq
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: 9780100254961
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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