A rope under tension of 200 Newtons and fixed at both ends, oscillates in a second harmonic standing wave pattern. The displacement of the rope is given by y = (0.10m)(sin Tx / 2)(sin12t) Where x=0 at one end of the rope, x is in meters, and t is in seconds. What are: (a) the length of the rope, (b) the speed of the waves on the rope, (c) the mass of the rope? (d) if the rope oscillates in a third Harmonic standing wave pattern, what will be the period of oscillation?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 94P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...
icon
Related questions
icon
Concept explainers
Question
A rope under tension of 200 Newtons and fixed at both ends,
oscillates in a second harmonic standing wave pattern. The
displacement of the rope is given by
y = (0.10m)(sin Tx/2)(sin12t)
Where x=0 at one end of the rope, x is in meters, and t is in seconds.
What are:
(a) the length of the rope,
(b) the speed of the waves on the rope,
(c) the mass of the rope?
(d) if the rope oscillates in a third Harmonic standing wave pattern,
what will be the period of oscillation?
Transcribed Image Text:A rope under tension of 200 Newtons and fixed at both ends, oscillates in a second harmonic standing wave pattern. The displacement of the rope is given by y = (0.10m)(sin Tx/2)(sin12t) Where x=0 at one end of the rope, x is in meters, and t is in seconds. What are: (a) the length of the rope, (b) the speed of the waves on the rope, (c) the mass of the rope? (d) if the rope oscillates in a third Harmonic standing wave pattern, what will be the period of oscillation?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Properties of sound
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
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning