How Does Linear Density Affect Wave Reflection in Composite Strings?

  • Thread starter Thread starter jairusgarcia
  • Start date Start date
  • Tags Tags
    Composite String
AI Thread Summary
The discussion revolves around understanding how linear density impacts wave reflection in a composite string made of two segments with different linear densities and lengths. The key equation to derive is the ratio of the reflected wave (y_r) to the incident wave (y_i) in terms of the lengths (l1, l2) and linear densities (ρ1, ρ2) of the strings. The initial poster expresses confusion, noting that the provided wave function does not include linear densities, making it challenging to solve the problem. Participants are encouraged to offer suggestions or guidance on how to approach the problem effectively. Clarification on the relationship between wave properties and linear density is sought to facilitate understanding.
jairusgarcia
Messages
19
Reaction score
0

Homework Statement


The composite string consists of two strings having lengths of l1 and l2, and linear densities \rho1 and \rho2

Find y_{r} / y_{i} in terms of l1 and l2, and \rho1 and \rho2

Homework Equations


y_{r} is the wave reflected from the "interface" of the two strings, and y_{i} is the incident wave from the left of the string with length l1 and linear density \rho1

The Attempt at a Solution


actually, i don't know. my professor provided me only with the string wave function, y=yosin(kx-\omegat), which obviously has no mention of linear densities.

Help please. any suggestion would be appreciated. Thanks ^_^
 
Last edited:
Physics news on Phys.org
anyone, please help. :(
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Waves on a String -- Minimizing reflections from the far end (ring on a bar)
Replies
1
Views
2K
What is the ratio of lengths for two vibrating strings with a beat frequency?
Replies
6
Views
1K
Wave speed on a string of non-uniform linear mass density
Replies
1
Views
4K
Calculating the length of a string from a standing wave
Replies
4
Views
2K
Why is the open end of a tube a node for a standing wave?
Replies
1
Views
2K
How does increasing the tension of a string affect various properties?
Replies
1
Views
1K
I Some questions regarding Acoustic wave reflection
Replies
11
Views
1K
Reflection of Waves and Formation of Standing Waves
Replies
6
Views
5K
Tension required to tune a string to the note of ##E_2##
Replies
1
Views
2K
How Do You Calculate the Energy of a Standing Wave?
Replies
21
Views
3K

Hot Threads

Recent Insights

Back
Top