You and a friend have created a long rope by tying three different pieces of rope together. Starting from the left end of the strand, the first rope has a length $1\text{ m}$ and a linear mass density of $\mu$, the second rope has a length $1.5\text{ m}$ and a linear mass density of $2\mu$ and the third rope (on the right end) has a length $0.5\text{ m}$ and a linear mass density of $3\mu$.

You each take an end of the rope and pull with a tension $T$.

If you both launch a wave from your respective ends at the same time, where will the two waves meet relative to the left end of the rope?

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