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Two traveling waves are generated on the same taut string. Individually, the two

ID: 2128560 • Letter: T

Question

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)=(1.49 cm)sin(k1x+(0.348 rad/s)t+Q1)
                y2 (x,t)=(5.78 cm)sin(k2x-(9.35 rad/s)t+Q2)


                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 origion x=0 and time                 t=1.68s.


                Q1= ( ?   radians) Q2= ( ?   radians)


I can't figure out how to find Q2. Please help!

Explanation / Answer

maximum displacement = 1.49 + 5.78

= 7.27 cm