How Does Linear Density Affect Wave Reflection in Composite Strings?

[jairusgarcia]

Homework Statement

The composite string consists of two strings having lengths of l1 and l2, and linear densities $$\rho$$1 and $$\rho$$2

Find y$$_{r}$$ / y$$_{i}$$ in terms of l1 and l2, and $$\rho$$1 and $$\rho$$2

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 $$\rho$$1

The Attempt at a Solution

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

Help please. any suggestion would be appreciated. Thanks ^_^

 

[jairusgarcia]

anyone, please help. :(

 

[m2003]

I would suggest starting by reviewing the properties and equations related to waves on strings. In this case, the wave function provided by your professor is likely a general equation for a wave on a string, but it may not directly relate to the composite string in question. You may need to consider the properties of the individual strings, such as their lengths and linear densities, in order to determine the wave function for the composite string. From there, you can use the properties of reflected and incident waves to determine the ratio y_r/y_i. Additionally, it may be helpful to consult with your professor or classmates for further guidance and clarification on the problem.