A string oscillates according to the equation y' = (0.367 cm) sin[(n/5.0 cm¯²)x] cos[(45.2 n s)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 = 2.20 cm when t = 1.06 s?

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A string oscillates according to the equation
y' = (0.367 cm) sin[(n/5.0 cm-1)x] cos[(45.2 n s1)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 = 2.20 cm when t = 1.06 s?
(a) Number
Units
[ cm
(b) Numbet226
Units cm/s
(c) Numbet
Units
cm
(d) Number
Units
Transcribed Image Text:A string oscillates according to the equation y' = (0.367 cm) sin[(n/5.0 cm-1)x] cos[(45.2 n s1)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 = 2.20 cm when t = 1.06 s? (a) Number Units [ cm (b) Numbet226 Units cm/s (c) Numbet Units cm (d) Number Units
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