A wave traveling along a string in the +x-direction is given by
where x = 0 is the end of the string which is tied rigidly to a wall, as shown in Fig.P1.7. When wave y1(x, t) arrives at the wall, a reflected wave y2(x, t) is generated. Hence, at any location on the string, the vertical displacement ys is the sum of the incident and reflected waves:
ys(x,1) = y1 (x,t) + y2(x,t).
(a) Write an expression for y2(x,t) keeping in mind its direction of travel and the fact that the end of the string cannot move.
(b) Generate plots of y1(x,t), y2(x,t) and ys(x,t) versus x over the range –2λ ≤ x ≤ 0 at ωt;π/4 and at ωt = π/2.
Figure P1.7 Wave on a string tied to a wall at x = 0 Problem (1.7)
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.