What are the smallest positive values of the unknown phase constants 1 and o2 (in radians) such that the maximum displacement occurs at the origin (x = 0) at time t = 2.67 s? $1 = 0.83 rad $2 = rad
What are the smallest positive values of the unknown phase constants 1 and o2 (in radians) such that the maximum displacement occurs at the origin (x = 0) at time t = 2.67 s? $1 = 0.83 rad $2 = rad
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Transcribed Image Text:What are the smallest positive values of the unknown phase constants $1 and þ2 (in radians) such that the maximum
displacement occurs at the origin (x = 0) at time t = 2.67 s?
$1 =
0.83
rad
2 =
rad
Transcribed Image Text: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) = (2.21 cm) sin (k1x + (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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