Essentials of Materials Science and Engineering, SI Edition
4th Edition
ISBN: 9781337672078
Author: ASKELAND, Donald R., WRIGHT, Wendelin J.
Publisher: Cengage Learning
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Question
Chapter 10, Problem 10.4P
Interpretation Introduction
Interpretation:
The principle of dispersion strengthening is to be explained.
Concept Introduction:
Dispersion strengthening is the process to increase the strength of a metallic material by adding allying element in it and creating the second phase.
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If you have a spring mass damper system, given by m*x_double_dot + c*x_dot + kx = 0 where m, c, k (all positive scalars) are the mass, damper coefficient, and spring coefficient, respectively. x ∈ R represents the displacement of the mass.
Let us then discuss the stability of the system by using Lyapunov stability theorem. Consider the system energy as a candidate Lyapunov function shown in the image.
Discuss the positive definiteness of V (x, x_dot).
Derive the Lyapunov rate of this system (i.e., V_dot ), and discuss the stability property of thesystem based on the information we gain from ̇V_dot .
A 3-phase, 6-pole induction motor is con-
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tor is locked. If the motor turns in the same
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Chapter 10 Solutions
Essentials of Materials Science and Engineering, SI Edition
Ch. 10 - Prob. 10.1PCh. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10P
Ch. 10 - Prob. 10.11PCh. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.14PCh. 10 - Prob. 10.15PCh. 10 - Prob. 10.16PCh. 10 - Prob. 10.17PCh. 10 - Prob. 10.18PCh. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - Prob. 10.23PCh. 10 - Prob. 10.24PCh. 10 - Prob. 10.25PCh. 10 - Prob. 10.26PCh. 10 - Prob. 10.27PCh. 10 - Prob. 10.28PCh. 10 - Prob. 10.29PCh. 10 - Prob. 10.30PCh. 10 - Prob. 10.31PCh. 10 - Prob. 10.32PCh. 10 - Prob. 10.33PCh. 10 - Prob. 10.34PCh. 10 - Prob. 10.35PCh. 10 - Prob. 10.36PCh. 10 - Prob. 10.37PCh. 10 - Prob. 10.38PCh. 10 - Prob. 10.39PCh. 10 - Prob. 10.40PCh. 10 - Prob. 10.41PCh. 10 - Prob. 10.42PCh. 10 - Prob. 10.43PCh. 10 - Prob. 10.44PCh. 10 - Prob. 10.45PCh. 10 - Prob. 10.46PCh. 10 - Prob. 10.47PCh. 10 - Prob. 10.48PCh. 10 - Prob. 10.49PCh. 10 - Prob. 10.50PCh. 10 - Prob. 10.51PCh. 10 - Prob. 10.52PCh. 10 - Prob. 10.53PCh. 10 - Prob. 10.54PCh. 10 - Prob. 10.55PCh. 10 - Prob. 10.56PCh. 10 - Prob. 10.57PCh. 10 - Prob. 10.58PCh. 10 - Prob. 10.59PCh. 10 - Prob. 10.60PCh. 10 - Prob. 10.61PCh. 10 - Prob. 10.62PCh. 10 - Prob. 10.63PCh. 10 - Prob. 10.64PCh. 10 - Prob. 10.65PCh. 10 - Prob. 10.66PCh. 10 - Prob. 10.67PCh. 10 - Prob. 10.68PCh. 10 - Prob. 10.69PCh. 10 - Prob. 10.70PCh. 10 - Prob. 10.71PCh. 10 - Prob. 10.72PCh. 10 - Prob. 10.73PCh. 10 - Prob. 10.74PCh. 10 - Prob. 10.75PCh. 10 - Prob. 10.76PCh. 10 - Prob. 10.77PCh. 10 - Prob. 10.78PCh. 10 - Prob. 10.79PCh. 10 - Prob. 10.80PCh. 10 - Prob. 10.81PCh. 10 - Prob. 10.82PCh. 10 - Prob. 10.83PCh. 10 - Prob. 10.84PCh. 10 - Prob. 10.85PCh. 10 - Prob. 10.86PCh. 10 - Prob. 10.87PCh. 10 - Prob. 10.88DPCh. 10 - Prob. 10.89DPCh. 10 - Prob. 10.90DPCh. 10 - Prob. 10.91DPCh. 10 - Prob. 10.92CPCh. 10 - Prob. 10.93CPCh. 10 - Prob. 10.94CPCh. 10 - Prob. K10.1KP
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- Make a drawing of the magnetic field cre- ated by a 3-phase, 12-pole induction motor. How can we change the direction of rota- tion of a 3-phase induction motor?arrow_forwardIn class, two approaches—Theorems 1 and 2 below—are discussed to prove asymptotic stability of asystem when ̇V = 0. Show the asymptotic stability of the system given in Eq. (1) by applying Theorem 1. Show the asymptotic stability of the system given in Eq. (1) by applying Theorem 2.arrow_forwardHomework#5arrow_forwardDescribe the principle of operation of a lin- ear induction motor.arrow_forwardName the principal components of an in- duction motor. Explain how a revolving field is set up in a 3-phase induction motor.arrow_forwardQ3) using the following image matrix a- b- 12345 6 7 8 9 10 11 12 13 14 15 1617181920 21 22 23 24 25 Using direct chaotic one dimension method to convert the plain text to stego text (hello ahmed)? Using direct chaotic two-dimension method to convert the plain text to stego text?arrow_forwardIf you have a spring mass damper system, given by m*x_double_dot + c*x_dot + kx = 0 where m, c, k (all positive scalars) are the mass, damper coefficient, and spring coefficient, respectively. x ∈ R represents the displacement of the mass. Using linear stability analysis, show that the system is asymptotically stable. Hint: stability of a linear system z_dot = Az is characterized by the eigenvalues of A.arrow_forwardAnswer all the questions (a) How much power is the wind farm generating? (b) How much power is the solar farm generating? (c) Find the power delivered to the AC motor. (d) If the AC motor requires at least 45 kW of power, is the system able to provide that power? If not, how many additional series PV modules should be added to each string (we want to keep the same number of modules in each string)? If so, how many modules can be removed from each string while still meeting the requirements?arrow_forwardChemical Engineering. Be thorough to the fullest for the three enthalpies. H(1) = 35.7 kj/kmol H(2) =32.0 Kj/kmol H(3)= -1.26 Kj/kmolarrow_forwardAn open-circuit voltage of 240 V appears across the slip-rings of a wound-rotor in- duction motor when the rotor is locked. The stator has 6 poles and is excited by a 60 Hz source. If the rotor is driven by a variable-speed dc motor, calculate the open-circuit voltage and frequency across the slip-rings if the dc motor turns a. At 600 r/min, in the same direction as the rotating field b. At 900 r/min, in the same direction as the rotating field c. At 3600 r/min, opposite to the rotating fieldarrow_forwardIf we double the number of poles on the stator of an induction motor, will its syn- chronous speed also double? The rotor of an induction should never be locked while full voltage is being applied to the stator. Explain. Why does the rotor of an induction motor turn slower than the revolving field?arrow_forwarda. Calculate the synchronous speed of a 3-phase, 12-pole induction motor that is excited by a 60 Hz source. b. What is the nominal speed if the slip at full-load is 6 percent?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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