A string oscillates according to the equation y' = (0.752 cm) sin[(7/5.0 cm-1)x] cos[(29.6 7s1)t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 174 cm vwhen t= 1 17s?

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Chapter1: Units, Trigonometry. And Vectors
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A string oscillates according to the equation
y´ = (0.752 cm) sin[(7/5.0 cm-1)x] cos[(29.6 17 s-1)t].
What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this
oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x =
1.74 cm whent = 1.17 s?
(a) Number
0.376
Units
cm
(b) Number
i
175
Units
cm/s
(c) Number
5.0
Units
cm
(d) Number
i
-1.26
Units
cm/s
Transcribed Image Text:A string oscillates according to the equation y´ = (0.752 cm) sin[(7/5.0 cm-1)x] cos[(29.6 17 s-1)t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.74 cm whent = 1.17 s? (a) Number 0.376 Units cm (b) Number i 175 Units cm/s (c) Number 5.0 Units cm (d) Number i -1.26 Units cm/s
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