help please Two traveling waves are generated on the same taut string. Individua

Question

help please

Two traveling waves are generated on the same taut string. Individually, the two traveling waves can be described by the following two equations: y1(x,t) = (2.45 cm)sin(k1x+(0.348 rad/s)t+ phi1) y2(x,t)= (3.78 cm)sin(k2x -(4.54 rad/s)t+ phi2) If both of the above traveling waves exist on the string at the same time, what is the maximum positive displacement that a point on the string can ever have? What are the smallest positive values of the unknown phase constants (in radians) such that the above displacement occurs at the origin (x = 0) at time t = 3.66 s? phi1 = phi2 =

Explanation / Answer

a)

2.45 + 3.78 = 6.23 cm

b)

ph1 = 0.297 rad

ph2 = 18.2 rad

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