11) Two traveling waves, ?1(?,?) and ?2(?,?), are generated on the same taut string. Individually, the two traveling waves can be described by the two equations?1(?,?)=(2.21 cm)sin(?1?+(0.313 rad/s)?+?1)?2(?,?)=(4.28 cm)sin(?2?−(9.29 rad/s)?+?2)where ?1 and ?2 are the wave numbers and ?1 and ?2 are the phase angles.If both of the traveling waves exist on the string at the same time, what is the maximum positive displacement Δ? that a point on the string can ever have?What is Δ??What are the smallest positive values of the unknown phase constants ?1 and ?2 (in radians) such that the maximum displacement occurs at the origin (?=0) at time ?=1.68 s?What is ?1?What is ?2? Two traveling waves, yi (x, t) and y2 (x, t) , are generated on the same taut string. Individually, the two traveling waves can bedescribed by the two equationsyı (x, t) = (2.21 cm) sin(k1x + (0.313 rad/s) t + ¢1)y2 (x, t) = (4.28 cm) sin(k2x – (9.29 rad/s) t + $2)where k1 and k2 are the wave numbers and $1 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 pointon the string can ever have?Ду 3cmWhat are the smallest positive values of the unknown phase constants 1 and Þ2 (in radians) such that the maximumdisplacement occurs at the origin (x = 0) at time t = 1.68 s?P1 =rad$2 =radII

Given,y1= 2.21cm Sin (k1 x +0.313 rads +q1 )y2= 4.28cm Sin (k2 x -9.29t +q2)Maximum displacement…

Answered: Two traveling waves, y1 (x, t) and y2…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...

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11) Two traveling waves, ?1(?,?) and ?2(?,?), are generated on the same taut string. Individually, the two traveling waves can be described by the two equations

?1(?,?)=(2.21 cm)sin(?1?+(0.313 rad/s)?+?1)

?2(?,?)=(4.28 cm)sin(?2?−(9.29 rad/s)?+?2)

where ?1 and ?2 are the wave numbers and ?1 and ?2 are the phase angles.

If both of the traveling waves exist on the string at the same time, what is the maximum positive displacement Δ? that a point on the string can ever have?

What is Δ??

What are the smallest positive values of the unknown phase constants ?1 and ?2 (in radians) such that the maximum displacement occurs at the origin (?=0) at time ?=1.68 s?

What is ?1?

What is ?2?

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 + (0.313 rad/s) t + ¢1)
y2 (x, t) = (4.28 cm) sin(k2x – (9.29 rad/s) t + $2)
where k1 and k2 are the wave numbers and $1 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?
Ду 3
cm
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 = 1.68 s?
P1 =
rad
$2 =
rad
II

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