- #1

- 13

- 0

1)A rope is held under tension, F. It lies along the x-axis when undisturbed. The mass

per unit length is l for x < 0 and r for x > 0. A wave-like disturbance is incident

from the right.

(i) Give and explain the origin of the boundary conditions on the displacement,

y(x), at x = 0.

I'm not entirely sure here? It is simply just: y(x=0,t) = 0? What about this x < 0 and x > 0 business, what does that explicitly mean? Does it give insight into whether or not the wire is fixed at both ends, fixed at only one end, attached to another wire etc etc?

What about for a string fixed at one end but not the other? Supposedly the answer is:

y(0; t) = [itex]\frac{\delta y}{\delta x}[/itex](L, t) = 0

What does this mean?

Thank you for your time.