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homeworkclass5 - Homework Set 5, Physics 6B This is a...

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Homework Set 5, Physics 6B This is a practice set, but read on. We work through it over the next 1 week ofclass. There soon will be more . .. It is in your own best interest to solve each one ofthese problems. 1. What is the frequency of this traveling wave? Y trw ::,fO t11.h O. 0.1 IIi p, "*- J,. ~.l!lt- e. z ;If: ::;>)( (f)1 ) oI~ e. S-)le It) fI-t. /. JO()H~ 2. A sinusoidal wave with an amplitude of 1 cm and a fundamental frequency of 100 Hz travels at 200 mls in the positive x-direction. At t=O s, the point x=lm is on a crest of the wave. A) Determine the values of A, V W , f..., k, f, 0), T, and <Po for this wave. B) Write the ~quation of the wave's displacement as it travels. C) Draw a snapshot graph of the wave at t=o s. 3. A very long string with 11=2 glm is stretched along the x-axis with a tension of 5 N. At x=O m it is tied to a 100 Hz simple harmonic oscillator that vibrates perpendicular to the string with an amplitude of 2 mm. The oscillator is at maximum positive displacement at t=0. A) Write the displacement equation for the traveling wave on the string. B) At t=5 ms, what is the string's displacement at a point 2.7 m from the oscillator? 4. What is the phase difference between two points on a 100 Hz sound wave that travels with a speed of 343 mis, if the points are a) 60 cm apart along the direction in which the wave is traveling? B) How far apart are two points whose phase differs by 90°? 5. What is the phase difference between the crest of a wave and its adjacent trough? a. -2x, b. 0, c. rrl4, d. rrl2, e. x, f. 3x 6. This is a snapshot graph at t=O of a 5 Hz wave traveling to the left. A) What is the wave speed? b) What is the initial phase ofthe wave? C) Write the displacement equation for this wave. ) ~ (Mtv' x(rn) -\
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7. The graph below shows the time dependence of a wave traveling in the positive
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homeworkclass5 - Homework Set 5, Physics 6B This is a...

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