A traveling wave on a long string is described by the time-dependent wave function f 1( x
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Question:
A traveling wave on a long string is described by the time-dependent wave function
f1(x,t)=a1sin(b1x−q1t),
with a1 = 5.00 × 10−2 m, b1 = 5π m−1, andq1 = 364 s−1 . You want a traveling wave of this frequency and wavelength but with amplitude0.0400 m, and you should add a second traveling wave to the same string in order to achieve this. Its wave function is
f2(x,t)=a2sin(b2x−q2t+ϕi).
Calculate the amplitude a2.
Calculate the wave number b2.
Calculate the angular frequency q2.
Calculate the smallest possible positive value of the initial phase ϕi.
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