MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 11, Problem 31P
Damped free vibrations can be modeled by a block of mass in that is attached to a spring and a dashpot as shown. From Newton’s second law of motion, the displacement x of the mass as a
where k is the spring constant and c is the damping coefficient of the dashpot. If the mass is displaced from its equilibrium position and then released, it will start oscillating back and forth. The nature of the oscillations depends on the size of the mass and the values of k and c.
For the system shown in the figure, m = 10kg and k = 25 N/m. At time t = 0 the mass is displaced to x =0.18 m and then released from rest. Derive expressions for the displacement x and the velocity v of the mass, as a function of time. Consider the following two cases:
(a) c= 3(Ns)/m. (b) c = 50(Ns)/m.
For each case, plot the position x and the velocity v versus time (two plots on one page). For case (a) take
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Students have asked these similar questions
Scenario
Sales of products by color follow a peculiar, but predictable, pattern that determines how many units will sell in
any given year. This pattern is shown below
Product Color
1995
1996
1997
Red
28
42
21
1998
23
1999
29
2000
2001
2002
Unit Sales
2003 2004
15
8
4
2
1
2005 2006
discontinued
Green
26
39
20
22
28
14
7
4
2
White
43
65
33
36
45
23
12
Brown
58
87
44
48
60
Yellow
37
56
28
31
Black
28
42
21
Orange
19
29
Purple
Total
28
42
21
49
68
78
95
123
176
181
164
127
24
179
Questions
A) Which color will sell the most units in 2007?
B) Which color will sell the most units combined in the 2007 to 2009 period?
Please show all your analysis, leave formulas in cells, and specify any assumptions you make.
One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.
Preference
Male
Female
TOTAL
Prefers dogs
\[36\]
\[20\]
\[56\]
Prefers cats
\[10\]
\[26\]
\[36\]
No preference
\[2\]
\[6\]
\[8\]
TOTAL
\[48\]
\[52\]
\[100\]
problem 1
Find the probability that a randomly selected student prefers dogs.Enter your answer as a fraction or decimal.
\[P\left(\text{prefers dogs}\right)=\]
Incorrect
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Hide explanation
Preference
Male
Female
TOTAL
Prefers dogs
\[\blueD{36}\]
\[\blueD{20}\]
\[\blueE{56}\]
Prefers cats
\[10\]
\[26\]
\[36\]
No preference
\[2\]
\[6\]
\[8\]
TOTAL
\[48\]
\[52\]
\[100\]
There were \[\blueE{56}\] students in the sample who preferred dogs out of \[100\] total students.
Business discuss
Chapter 11 Solutions
MATLAB: An Introduction with Applications
Ch. 11 - Prob. 1PCh. 11 - Define y as a symbolic variable and create the two...Ch. 11 - Define x and y as symbolic variables and create...Ch. 11 - Define x as a symbolic variable. (a) Derive the...Ch. 11 - Use the commands from Section 11.2 to show that:...Ch. 11 - Use the commands from Section 11.2 to show that:...Ch. 11 - In rectangular coordinates the equation of the...Ch. 11 - Prob. 8PCh. 11 - The relation between the tension T and the steady...Ch. 11 - Consider the two ellipses in the x y plane given...
Ch. 11 - A 120 in.-long beam AB is attached to the wall...Ch. 11 - A box of mass m is being pulled by a rope as...Ch. 11 - The mechanical power output P in a contracting...Ch. 11 - The equation of a circle with its center is at x=3...Ch. 11 - A tracking radar antenna is locked on an airplane...Ch. 11 - Prob. 16PCh. 11 - Evaluate the following indefinite integrals: (a)...Ch. 11 - Define x as a symbolic variable and create the...Ch. 11 - The one-dimensional diffusion equation is given...Ch. 11 - A ceramic tile has the design shown in the figure....Ch. 11 - Prob. 21PCh. 11 - 22. Consider the parabolic sector shown in the...Ch. 11 - Prob. 23PCh. 11 - The spread of an infection from a single...Ch. 11 - The Maxwell-Boltzmann probability density function...Ch. 11 - The velocity of a skydiver whose parachute is...Ch. 11 - 27. A resistor R (R = 0.4?) and an inductor L (L =...Ch. 11 - Determine the general solution of the differential...Ch. 11 - Determine the solution of the following...Ch. 11 - 30. The current, i, in a series RLC circuit when...Ch. 11 - Damped free vibrations can be modeled by a block...
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