(The hammer blow) Let p(x) = 0 and √(x) = 1 for [x] < a and (x) = 0 for |x| ≥a. Sketch the string profile (u versus x) at each of the successive instants t = a/2c, a/c, 3a/2c, 2a/c, and 5a/c. [Hint: Calculate ex+ct = 1/10 ²² 2c x-ct u(x, t) = (s) ds = = 1 -{length of (x- ct, x + ct)n(-a, a)}. 2c Then u(x, a/2c) = (1/2c) {length of (x -a/2, x + a/2)^(-a, a)}. This takes on different values for [x] < a/2, for a/2 < x < 3a/2, and for x > 3a/2. Continue in this manner for each case.]

(The hammer blow) Let p(x) = 0 and √(x) = 1 for [x] < a and (x) = 0 for |x| ≥a. Sketch the string profile (u versus x) at each of the successive instants t = a/2c, a/c, 3a/2c, 2a/c, and 5a/c. [Hint: Calculate ex+ct = 1/10 ²² 2c x-ct u(x, t) = (s) ds = = 1 -{length of (x- ct, x + ct)n(-a, a)}. 2c Then u(x, a/2c) = (1/2c) {length of (x -a/2, x + a/2)^(-a, a)}. This takes on different values for [x] < a/2, for a/2 < x < 3a/2, and for x > 3a/2. Continue in this manner for each case.]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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