What are the smallest positive values of the unknown phase constants &j and $2 (in radians) such that the maximum displacement occurs at the origin (x = 0) at time t = 2.67 s? rad Enter numeric value 2 = rad

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What are the smallest positive values of the unknown phase constants ¢1 and ø2 (in radians) such that the maximum
displacement occurs at the origin (x = 0) at time t = 2.67 s?
rad
Enter numeric value
02 =
rad
Transcribed Image Text:What are the smallest positive values of the unknown phase constants ¢1 and ø2 (in radians) such that the maximum displacement occurs at the origin (x = 0) at time t = 2.67 s? rad Enter numeric value 02 = rad
Two traveling waves, yi (x, t) and y, (x, t) , are generated on the same taut string. Individually, the two traveling waves can be
described by the two equations
yı (x, t) = (2.21 cm) sin (k1 x + (0.278 rad/s) t + 41)
y2 (x, t) = (5.03 cm) sin (k2x – (6.29 rad/s) t + ¢2)
where ki and k2 are the wave numbers and ø1 and ø2 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
Transcribed Image Text:Two traveling waves, yi (x, t) and y, (x, t) , are generated on the same taut string. Individually, the two traveling waves can be described by the two equations yı (x, t) = (2.21 cm) sin (k1 x + (0.278 rad/s) t + 41) y2 (x, t) = (5.03 cm) sin (k2x – (6.29 rad/s) t + ¢2) where ki and k2 are the wave numbers and ø1 and ø2 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
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