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. :(