How Does Linear Density Affect Wave Reflection in Composite Strings?

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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.
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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 ^_^
 
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anyone, please help. :(
 

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