Two traveling waves, yi (x, t) and y2 (x, t), are generated on the same taut string. Individually, the two traveling waves can be described by the two equations yı (x, t) = (1.49 cm) sin (kjx + (0.103 rad/s) t + Þ1) y2 (x, t) = (6.28 cm) sin (k2x – (4.65 rad/s) t + p2) where kj and k2 are the wave numbers and øi and 2 are the phase angles. If both of the traveling waves exist on the string at the same time, what is the maximum positive displacement Ay that a point on the string can ever have? Ay = cm What are the smallest positive values of the unknown phase constants j and þ2 (in radians) such that the maximum displacement occurs at the origin (x = 0) at time t = 3.33 s? rad $2 = rad

Two traveling waves, yi (x, t) and y2 (x, t), are generated on the same taut string. Individually, the two traveling waves can be described by the two equations yı (x, t) = (1.49 cm) sin (kjx + (0.103 rad/s) t + Þ1) y2 (x, t) = (6.28 cm) sin (k2x – (4.65 rad/s) t + p2) where kj and k2 are the wave numbers and øi and 2 are the phase angles. If both of the traveling waves exist on the string at the same time, what is the maximum positive displacement Ay that a point on the string can ever have? Ay = cm What are the smallest positive values of the unknown phase constants j and þ2 (in radians) such that the maximum displacement occurs at the origin (x = 0) at time t = 3.33 s? rad $2 = rad

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Wave Motion

Section: Chapter Questions

Problem 16.9P

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