Materials Science And Engineering
10th Edition
ISBN: 9781119405498
Author: Callister, William D., Jr, RETHWISCH, David G., Jr., 1940- Author.
Publisher: Wiley,
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Chapter 21, Problem 10QAP
To determine
To describe: The phenomenon of dispersion in a transparent medium.
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2. Find the inverse Laplace transform of the following s -domain signals.
1
a) Y(s)
=
(s+4)²(s+3)
S+7
b) Y(s)
=
(s²+6s+13)
s²+2s+2
c) Y(s)
=
(s+2)2-32
d) Y(s) = (1-es - e-3s)
$2
4. Answer the following questions. Take help from ChatGPT to answer these questions
(if you need). But write the answers briefly using your own words with no more than
two sentences and make sure you check whether ChatGPT is giving you the
appropriate answers in our context.
A) What is the zero-input response?
B) What is the zero-state response?
C) What are pole, zero, and residue in the context of our class?
D) What are the different methods for finding the inverse Laplace transform?
Which one we used in this class?
3. You have come to encounter an LTI system. You have no idea how the system
behaves. So, you decide to drive the system with a particular input and measure the
output. When you put the input u(t) = et 1(t), you find that the output y(t) =
(1-e) 1(t). You can assume zero initial conditions. Now, find the transfer
function of the system.
Chapter 21 Solutions
Materials Science And Engineering
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- 1. Consider the following LTI system. d²y dy du +7 +6y= -- +2u, t≥0 dt² dt dt a) What is the impulse response of the system? Recall, h(t) = L-¹(H(s)). b) What are poles and zeros of the system? c) Suppose the initial condition of the system is y(0) = 1 and y'(0) = 4. What is the zero-input response of the system? d) Consider an input u(t) = (1 + et) 1(t) to the system. What is the zero-state response of the system for this input? e) Suppose, the initial condition was y(0) = -2 and y'(0) = -8 and the input is u(t)=(1+e) 1(t). What will be the total response of the system? You should be able to answer this using the linearity property of the system and your answers in part b and part c without taking any inverse Laplace transform.arrow_forwardGiven a normally distributed variable X with mean 4 and standard deviation 2, fi (a) P(X5). (d) P(1.8arrow_forwardIn MATLAB write out a program to integrate the equations of motion of a rigid body. The inertia matrix is given by I = [125 0 0; 0 100 0; 0 0 75] which is a diagonal, where diag operator provides a matrix with given elements placed on its diagonal. Consider three cases where the body rotates 1 rad/sec about each principal axis. Integrate the resulting motion and study the angular rates and the resulting attitude (use any attitude coordinates). For each principal axis case, assume first that a pure spin about the principal axis is performed, and then repeat the simulation where a small 0.1 rad/sec motion is present about another principal axis. Discuss the stability of each motion. The code should produce a total of 6 simulations results when it is ran.arrow_forwardIn 32-bit MSAM, You were given the following negative array. write a program that converts each array element to its positive representation. Then add all these array elements and assign them to the dl register. .data myarr sbyte -5, -6, -7, -4.code ; Write the rest of the program and paste the fully working code in the space below. the dl register should have the value 22 after summing up all elements in the array.arrow_forwardThe 4-story building shown below has a dead load D = 90 psf, floor live load, L = 110 psf. The roof and floors have the same D and L loads. The length of columns is 24 ft at the ground level and 12 ft for all other floors. The column ends are pins (Kx = Ky = 1.0) and Lx = Ly for all columns. (Use LFRD Method where applicable).1) Determine Pu on interior columns B2-4, B2-1, and side column C1-1 2) Use Table 4-1a (p. 4-12 to 4-24) in AISC to select the lightest W shapes for these columns 3) Use Table 4-4 (p. 4-68 to 4-83) in AISC to select lightest square HSS shape for the columnsarrow_forwardMicroprocessor 8085 Lab Experiment Experiment No. 3 Logical Instructions Write programs with effects 1. B=(2Dh XOR D/2) - (E AND 2Eh+1) when E=53, D=1Dh 2. HL= (BC+HL) XOR DE (use register pair when necessary), when BC=247, HL 516, DE 12Ach 3. Reset bits 1,4,6 of A and set bits 3,5 when A=03BH Write all as table (address line.hexacode,opcede,operant.comment with flags)arrow_forwardThe 4-story building shown below has a dead load D = 90 psf, floor live load, L = 110 psf. The roof and floors have the same D and L loads. The length of columns is 24 ft at the ground level and 12 ft for all other floors. The column ends are pins (Kx = Ky = 1.0) and Lx = Ly for all columns. Determine Pu on interior columns B2-4, B2-1, and side column C1-1 (Use LFRD where applicable).arrow_forwardTask 2 (2 credits) Consider the circuit in the figure below. The Zener diode has a Zener voltage of 15 V. What is the voltage Vout? 22 V 4.0 ΚΩ Vout 3.0 ΚΩarrow_forwardIn 32-bit MASM, Assume your grocery store sells three types of fruits. Apples, Oranges, and Mangos. Following are the sale numbers for the week (7 days).dataapples dword 42, 47, 52, 63, 74, 34, 73oranges dword 78, 53, 86, 26, 46, 51, 60mangos dword 30, 39, 41, 70, 75, 84, 29Using a single LOOP instruction, write a program to add elements in all these three arrays. Then assign the total result into the eax register. The eax register should have the value 1153 after a successful execution.arrow_forwardYou were given the following negative array. write a program that converts each array element to its positive representation. Then add all these array elements and assign them to the dl register. .data myarr sbyte -5, -6, -7, -4.code ; Write the rest of the program and paste the fully working code in the space below. The dl register should have the value 22 after summing up all elements in the array. Your answer must be in 32-bit MSAM.arrow_forwardGiven a normally distributed variable X with mean 4 and standard deviation 2, fi (a) P(X5). (d) P(1.8arrow_forwardGiven a normally distributed variable X with mean 4 and standard deviation 2, fi (a) P(X5). (d) P(1.8arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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