Learning Goal: How do 2 ordinary waves build up a "standing" wave? A very generic formula for a traveling wave is: y1(x, t) = A sin(kx - wt). This general mathematical form can represent the displacement of a string, or the strength of an electric field, or the height of the surface of water, or a large number of other physical waves! Part E At the position = 0, what is the displacement of the string (assuming that the standing wave ys (x, t) is present)? Express your answer in terms of parameters given in the problem introduction. ys (2=0, 1) = 0 Submit ✓ Correct This could be a useful property of this standing wave, since it could represent a string tied to a post or otherwise constrained at position = 0. Su solutions will be important in treating normal modes that arise when there are two such constraints. Part F Previous Answers At certain special times, the string will be perfectly straight. Find the first time t1> 0 when this happens. Express t1 in terms of w, k, and necessary constants. ▸ View Available Hint(s) t1 = for Part F for Part Fundo for Part F redo for Part F reset for Part F keyboard shortcuts for Part F help for Part F

Learning Goal: How do 2 ordinary waves build up a "standing" wave? A very generic formula for a traveling wave is: y1(x, t) = A sin(kx - wt). This general mathematical form can represent the displacement of a string, or the strength of an electric field, or the height of the surface of water, or a large number of other physical waves! Part E At the position = 0, what is the displacement of the string (assuming that the standing wave ys (x, t) is present)? Express your answer in terms of parameters given in the problem introduction. ys (2=0, 1) = 0 Submit ✓ Correct This could be a useful property of this standing wave, since it could represent a string tied to a post or otherwise constrained at position = 0. Su solutions will be important in treating normal modes that arise when there are two such constraints. Part F Previous Answers At certain special times, the string will be perfectly straight. Find the first time t1> 0 when this happens. Express t1 in terms of w, k, and necessary constants. ▸ View Available Hint(s) t1 = for Part F for Part Fundo for Part F redo for Part F reset for Part F keyboard shortcuts for Part F help for Part F

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Wave Motion

A wave motion is defined as the propagation of disturbances or transfer of energy and momentum from the state of rest or equilibrium to another point in a medium without any actual transfer of matter between them. In a simple explanation, it is the propagation of energy through a medium that is produced due to the repeated vibrations of the particles. Common things we see day to day like waves on water oscillation of a pendulum or bell, light wave, and all the subatomic particles exhibiting wavelike properties. The propagation of waves depends on the medium and their properties. The wave function is the disturbance that produces waves as a function of time. This disturbance oscillates periodically with a fixed frequency and wavelength. There are linear wave motion and non-linear wave motion based on their propagation, motion, and time period where linear wave motion is like sinusoidal waves and non-linear wave motion like a wave motion that gets interrupted in the middle of their propagation.

Question

Learning Goal:
How do 2 ordinary waves build up a "standing" wave?
A very generic formula for a traveling wave is:
y1(x, t) = A sin(kx - wt).
This general mathematical form can represent the displacement of
a string, or the strength of an electric field, or the height of the
surface of water, or a large number of other physical waves!
Part E
At the position x = 0, what is the displacement of the string (assuming that the standing wave ys (x, t) is present)?
Express your answer in terms of parameters given in the problem introduction.
Ys (x = 0, t) = 0
Submit
Part F
✓ Correct
This could be a useful property of this standing wave, since it could represent a string tied to a post or otherwise constrained at position = 0. Su
solutions will be important in treating normal modes that arise when there are two such constraints.
Previous Answers
At certain special times, the string will be perfectly straight. Find the first time t1> 0 when this happens.
Express t1 in terms of w, k, and necessary constants.
▸ View Available Hint(s)
t1 =
for Part F for Part undo for Part F redo for Part F reset for Part F keyboard shortcuts for Part F help for Part F
Submit
Consta

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