Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 13, Problem 66P
A harmonic oscillator is underdamped if the damping constant b is less than
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Considering an undamped, forced oscillator (b = 0), show that equation (1) is a solution of equation (2).
(1)
x = A cos(wt + ¢)
d²x
EF = ma → Fo sin wt – bOK – kx = m9
dt?
xp
dt
Use an amplitude given by the following equation. (Submit a file with a maximum size of 1 MB.)
Fo
A
V (w? - w,3)?
+ m
A 2-kg mass is attached to a spring with stiffness 54 N/m. The damping constant for the system is 12/3 N-sec/m. If the mass is pulled 30 cm to the
right of equilibrium and given an initial rightward velocity of 2 m/sec, what is the maximum displacement from equilibrium that it will attain?
The maximum displacement is
meters.
(Type an exact answer, using radicals as needed.)
4.9.9
Question Help
A 3-kg mass is attached to a spring with stiffness 84 N/m. The damping constant for the system is 12/7 N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 3 m/sec,
what is the maximum displacement from equilibrium that it will attain?
The maximum displacement is
meters.
(Type an exact answer, using radicals as needed.)
Chapter 13 Solutions
Essential University Physics: Volume 1 (3rd Edition)
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Ch. 13 - If the spring of a simple harmonic oscillator is...Ch. 13 - How does the frequency of a simple harmonic...Ch. 13 - How would the frequency of a horizontal massspring...Ch. 13 - When in its cycle is the acceleration of an...Ch. 13 - Explain how simple harmonic motion might be used...Ch. 13 - One pendulum consists of a solid rod of mass m and...Ch. 13 - The x- and y-components of motion of a body are...Ch. 13 - Why is critical damping desirable in a cars...Ch. 13 - Explain why the frequency of a damped system is...Ch. 13 - Opera singers have been known to break glasses...Ch. 13 - What will happen to the period of a massspring...Ch. 13 - How can a system have more than one resonant...Ch. 13 - Prob. 16ECh. 13 - A violin string playing the note A oscillates at...Ch. 13 - The vibration frequency of a hydrogen chloride...Ch. 13 - Write expressions for the displacement x(t) in...Ch. 13 - The top of a skyscraper sways back and forth,...Ch. 13 - A hummingbirds wings vibrate at about 45 Hz. 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