Question

The figure shows the transverse velocity u versus time t of the point on a string at x = 0, as a wave passes through it. The scale on the vertical axis is set by us = 4 m/s. The wave has form y(x, t) = ymsin(kx - ωt + φ). What is φ , in the range from - π to +π ? (Caution: A calculator does not always give the proper inverse trig function, so check your answer by substituting it and an assumed value of φ into y(x, t) and then plotting the function.)

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0 Dy Us - 4 m/s from - to +1 ? (Caution: A calculator does no substituting it and an assumed value of p into u (m/s)

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Answer #1

Y = Y Sin (ken-wot + 8) v letu - * - Yn w cos (kex-cot +) v=- Um cas (lex - wt + 8) { var Ymw] at t=0, x=0 v= - 4ml8 - 4= 5 c

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