EBK FUNDAMENTALS OF MATERIALS SCIENCE A
5th Edition
ISBN: 9781119175506
Author: RETHWISCH
Publisher: JOHN WILEY+SONS INC.
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Chapter 3.21, Problem 60QP
(a)
To determine
The direction indices for a
(b)
To determine
Repeat part (a) for a rhombohedral unit cell.
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The single degree of freedom (SDOF) system that you studied under free vibration in Assignment #3 - Laboratory Component has been subjected to a strong ground motion. The acceleration at the base (excitation) and the acceleration at the roof (response) of the SDOF system was recorded with sampling rate 50 Hz (50 samples per second, or dt= 0.02 seconds). The file ElCentro.txt includes the two columns of acceleration data. The first column lists the acceleration at the base of the SDOF system. The second column lists the acceleration at the roof of the SDOF system. (a) Plot the time histories of the recorded accelerations at the base and at the roof of the SDOF system. (b) Compute the acceleration, velocity and displacement time histories of the roof of the SDOF system subjected to the recorded base acceleration using the Central Difference method. Plot the accel- eration, velocity and displacement time histories. Plot the restoring force, the damping force, and the inertia force time…
2. (35 points) Use you program to investigative properties of a four step linear pathway. Just
extend the model given in question 1 to include an additional two species x2 and x3. You can
assume simple irreversible mass-action kinetic on each reaction.
I recommend you use the following values for the rate constants: 1 = 0.6; k2 = 1.8; k3 =
0.5; k40.04. This will enable you to more easily answer the following questions.
You can also assume that the input is the source X and you can set its value to one.
You may find that the plot of the phase change at x3 is broken at -180 degrees because it wraps
around. To avoid this you can use the method:
phase = np.unwrap(phase)
to make sure the phase plot is continuous.
[10] i) Compute and show the Bode plots for x1, x2 and x3 with respect to the input Xo.
[5] ii) Do you see a pattern with the maximum phase shifts as you move from x₁ to x3?
[10] iii) Can you explain this pattern?
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5. Here is a tree corresponding to T(64) for an unknown recurrence relation:
32 + lg 64
8+ lg 16
2+ lg 4
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2+lg4
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7
7
7
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7
7
7
7
Fill in the details for the corresponding recurrence relation:
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T(n/4)+
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Put scratch work below. Scratch work is not graded but may be used for regrade
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Chapter 3 Solutions
EBK FUNDAMENTALS OF MATERIALS SCIENCE A
Ch. 3.21 - Prob. 1QPCh. 3.21 - Prob. 2QPCh. 3.21 - Prob. 3QPCh. 3.21 - Prob. 4QPCh. 3.21 - Prob. 5QPCh. 3.21 - Prob. 6QPCh. 3.21 - Prob. 7QPCh. 3.21 - Prob. 8QPCh. 3.21 - Prob. 9QPCh. 3.21 - Prob. 10QP
Ch. 3.21 - Prob. 11QPCh. 3.21 - Prob. 12QPCh. 3.21 - Prob. 13QPCh. 3.21 - Prob. 14QPCh. 3.21 - Prob. 15QPCh. 3.21 - Prob. 16QPCh. 3.21 - Prob. 17QPCh. 3.21 - Prob. 18QPCh. 3.21 - Prob. 19QPCh. 3.21 - Prob. 20QPCh. 3.21 - Prob. 21QPCh. 3.21 - Prob. 22QPCh. 3.21 - Prob. 23QPCh. 3.21 - Prob. 24QPCh. 3.21 - Prob. 25QPCh. 3.21 - Prob. 26QPCh. 3.21 - Prob. 27QPCh. 3.21 - Prob. 28QPCh. 3.21 - Prob. 29QPCh. 3.21 - Prob. 30QPCh. 3.21 - Prob. 31QPCh. 3.21 - Prob. 32QPCh. 3.21 - Prob. 33QPCh. 3.21 - Prob. 34QPCh. 3.21 - Prob. 35QPCh. 3.21 - Prob. 36QPCh. 3.21 - Prob. 37QPCh. 3.21 - Prob. 38QPCh. 3.21 - Prob. 39QPCh. 3.21 - Prob. 40QPCh. 3.21 - Prob. 41QPCh. 3.21 - Prob. 42QPCh. 3.21 - Prob. 43QPCh. 3.21 - Prob. 44QPCh. 3.21 - Prob. 45QPCh. 3.21 - Prob. 46QPCh. 3.21 - Prob. 47QPCh. 3.21 - Prob. 48QPCh. 3.21 - Prob. 49QPCh. 3.21 - Prob. 50QPCh. 3.21 - Prob. 53QPCh. 3.21 - Prob. 54QPCh. 3.21 - Prob. 55QPCh. 3.21 - Prob. 56QPCh. 3.21 - Prob. 57QPCh. 3.21 - Prob. 58QPCh. 3.21 - Prob. 59QPCh. 3.21 - Prob. 60QPCh. 3.21 - Prob. 61QPCh. 3.21 - Prob. 62QPCh. 3.21 - Prob. 63QPCh. 3.21 - Prob. 64QPCh. 3.21 - Prob. 65QPCh. 3.21 - Prob. 66QPCh. 3.21 - Prob. 67QPCh. 3.21 - Prob. 68QPCh. 3.21 - Prob. 69QPCh. 3.21 - Prob. 70QPCh. 3.21 - Prob. 71QPCh. 3.21 - Prob. 72QPCh. 3.21 - Prob. 73QPCh. 3.21 - Prob. 74QPCh. 3.21 - Prob. 75QPCh. 3.21 - Prob. 76QPCh. 3.21 - Prob. 77QPCh. 3.21 - Prob. 78QPCh. 3.21 - Prob. 79QPCh. 3.21 - Prob. 80QPCh. 3.21 - Prob. 81QPCh. 3.21 - Prob. 82QPCh. 3.21 - Prob. 83QPCh. 3.21 - Prob. 84QPCh. 3.21 - Prob. 85QPCh. 3.21 - Prob. 86QPCh. 3.21 - Prob. 87QPCh. 3.21 - Prob. 88QPCh. 3.21 - Prob. 89QPCh. 3.21 - Prob. 90QPCh. 3.21 - Prob. 91QPCh. 3.21 - Prob. 92QPCh. 3.21 - Prob. 93QPCh. 3.21 - Prob. 94QPCh. 3.21 - Prob. 95QPCh. 3.21 - Prob. 96QPCh. 3.21 - Prob. 97QPCh. 3.21 - Prob. 98QPCh. 3.21 - Prob. 99QPCh. 3.21 - Prob. 100QPCh. 3.21 - Prob. 101QPCh. 3.21 - Prob. 102QPCh. 3.21 - Prob. 103QPCh. 3.21 - Prob. 1SSPCh. 3.21 - Prob. 1FEQPCh. 3.21 - Prob. 2FEQPCh. 3.21 - Prob. 3FEQPCh. 3.21 - Prob. 4FEQPCh. 3.21 - Prob. 5FEQP
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