All Questions
Tagged with continuum-mechanicswaves
76 questions
2votes
0answers
88views
Why are SHM formulas applicable to waves on strings? Are they applicable for all transverse waves?
This is a very basic and conceptual doubt, I am in high school, they have taught us SHM formulas in school and told us to apply it on waves on strings, but I had a problem connecting the dots and in ...
1vote
1answer
127views
How to "rectify" this wave-equation derivation for Longitudinal waves?
To derive the differential equation for longitudinal waves, my professor proceeded like this: We are using the concept of $N$-coupled oscillators. Consider a slab of length $l$ and cross sectional ...
- 274
-2votes
2answers
77views
Where did the energy created go if there are no non-conservative forces like friction acting in my scenario?
In my scenario, there is a string (which is elastic and massless) which is tied tightly to a wall and other end is fixed to a machine which can create waves without human error. If half wave with ...
10votes
3answers
583views
Why does the aggressively bowed string go sharp?
A vibrating string with fixed endpoints, such as on my fiddle, may be bowed (see Helmholtz motion, see stick and slip) with very little to a certain amount of pressure and proximity to the bridge (the ...
- 2,212
1vote
2answers
87views
How to calculate wave equation from a stretched string?
I am reading "Introduction to Electrodynamics" [Griffiths] and in section 9.1.1, there is an explanation for why a stretched string supports wave motion. It begins as follows: It identifies ...
- 113
1vote
0answers
68views
Volume Conservation in Shock Plastic Waves [closed]
SOLIDS: Plastic deformation is known to have constant volume. During shock, does the plastic wave not compress the volume? Should the only compression come from the elastic wave? Edit-1: screenshot
- 41
0votes
1answer
62views
Forces of an elastic closed string
I want to calculate the forces acting on an element of a closed elastic string and derive a wave equation on a closed string. For this I have already figured out that if the closed shape of the string ...
- 1,712
1vote
1answer
168views
Three dimensional classical continuum limit, wave equation
Many textbooks of classical mechanics or classical field theory mention that a three dimensional "string" (the continuum limit of a lattice) leads to/can be described by the 3 dimensional ...
- 532
1vote
0answers
53views
What are the references of this type of 2 dimensional Shallow Water Equation?
I'm reading the Wikipedia of Shallow Water Equations(SWEs) in 2 dimensional case. https://en.wikipedia.org/wiki/Shallow_water_equations I notice that the 2d case in the page was stated as: But there ...
4votes
1answer
108views
Does rope in a standing wave expand and contract as it moves between being straight vs sine?
Images of standing waves often show two people using a jump rope. The shape of the rope goes from straight to waves to straight, then a sine wave the other way and then straight again as it repeats. ...
0votes
1answer
41views
Error of deriving the variable cross section rod wave equation
On page $519$ of the book Engineering Vibration (which can be downloaded from here), the following wave equation of a variable cross-section rod is derived: $${ {\partial}\over{\partial}x} \Big( EA(x){...
1vote
2answers
273views
How do mass and momentum travel in wave? [closed]
In my book what i read was ; In transverse wave - Only Energy is transferred (not Momentum and mass) while in longitudinal wave - Energy , mass and Momentum are transferred. [ Note : The above ...
0votes
1answer
109views
For two strings tied together: Why does a sinusoidal incident wave give rise to sinusoidal reflected and transmitted waves? [duplicate]
I am reading Griffiths' Intro to Electrodynamics (Section 9.1.3 Boundary Conditions: Reflection and Transmission) where he analyzes the case of an incident wave sent down a string that is tied to ...
1vote
0answers
236views
Deriving the wave equation of a variable cross-section rod subjected to non-uniform pressure
On page $519$ of the book Engineering Vibration (which can be downloaded from here), the following wave equation of a variable cross-section rod is derived: $${ {\partial}\over{\partial}x} \Big( EA(x){...
6votes
3answers
2kviews
Transverse waves in a rope: Why does tension not increase?
So I've gone down the "waves" rabbit hole... I found out that the propagation speed of transverse waves in ropes depends on the tension in the rope. At a first glance, this intuitively ...
- 337
