In your responses, round numerical values to three decimal places. For the given values of m, b, k, and forcing f(t), find the amplitude of the long-term motion (i.e., neglecting the transient part of the solution) of mx" + bx' + kx = f(t) . m = 8, b = 17.6, k = 242, f(t) = 16 cos(5 t) R = d 1.3127 For the forcing f(t)=cos(w t) , what value of the driving frequency maximizes the long-term amplitude? w = 5 5.2754

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.2P: Allow the motion in the preceding problem to take place in a resisting medium. After oscillating for...
icon
Related questions
Question
Practice Another
In your responses, round numerical values to three decimal places.
For the given values of m, b, k, and forcing f(t), find the amplitude of the long-term motion (i.e., neglecting the transient part of the solution) of mx'" + bx' + kx = f(t).
m = 8, b = 17.6, k = 242, f(t) = 16 cos(5 t)
R = d
1.3127
For the forcing f(t)=cos(w t) , what value of the driving frequency maximizes the long-term amplitude?
w = 5
5.2754
Check Score
Hide Answer
Try Another
Transcribed Image Text:Practice Another In your responses, round numerical values to three decimal places. For the given values of m, b, k, and forcing f(t), find the amplitude of the long-term motion (i.e., neglecting the transient part of the solution) of mx'" + bx' + kx = f(t). m = 8, b = 17.6, k = 242, f(t) = 16 cos(5 t) R = d 1.3127 For the forcing f(t)=cos(w t) , what value of the driving frequency maximizes the long-term amplitude? w = 5 5.2754 Check Score Hide Answer Try Another
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Normal Modes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University