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Given a string with sections of two linear densities like this: enter image description here

Does the point where the two linear densities meet have to be a node if a standing wave is produced? Are there alternatives? Could I perhaps produce a standing wave where the meeting point is an anti-node?

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  • $\begingroup$ Related: physics.stackexchange.com/q/32122/2451 , physics.stackexchange.com/q/219825/2451 , and links therein. $\endgroup$ – Qmechanic Mar 14 '16 at 10:28
  • $\begingroup$ Well, draw yourself some pictures. What happens if the interface is neither a node nor an anti-node? How do the waves reflected at the interface interfere with the waves reflected at the end of the string? I suspect that looking at a couple cases will lead you to the answer. $\endgroup$ – Carl Witthoft Mar 14 '16 at 12:51

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