I have a rather elementary question. Let's say I have an arbitrarily long string, tied at both ends, with enough tension on the string so it is a medium for wave motion from one end to the other. I inject a disturbance at one end, to initiate a set of waves towards the other end. Almost simultaneously, I cut the other end removing any elasticity in the string. In this scenario, how long will the original wave travel before it dies down? What's the best way to model this?