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Hello,

Racking my brains over this :

If I have two semi-infinite strings (made of same material) - which are connected by a massless spring, and now I send a longitudinal wave along one string.

Will the spring just pass on the wave to the other string or will it serve to reflect some of it back ?

If it does reflect some of it back, what would be the boundary conditions that you will have to impose ?

Is it just that the E * du/dx which is the stress in the two strings, should be equal to k*(u1 - u2) where u1 and u2 are the displacements of the two strings at the interface between the string and the spring ? So I will just have:

E * du1 /dx = -k * (u1 - u2)

E * du2 /dx = k * (u1 - u2)

One of the right hand sides is of opposite sign as the direction of force is opposite.

Not able to show energy conservation with this. Perhaps I am using the wrong boundary conditions ?

Thanks!

Thanks!