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

Question

Two traveling waves are generated on the same taut string. Individually, the two traveling waves can be described by the following two equations:j,(jc,/)=(l.25 cm) sin|A,.v + (0.278 rad/s)/+#J = (4.28 cm)sin|A'2jf- (6.14 rad/s)/+0,)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 f = 2.67 s?

Explanation / Answer

.885

here if you can make the sine parts of both the waves as 1, then only we can get 5.53 as the displacement, which means that the angle inside the sine part should be in the form of 2*n*pi+pi/2 or -(2*n*pi-pi/2)

and the second part becomes -990 degrees to make it 1, then angle would be 50.7 degrees which is .885 in radians, sorry...

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