A string oscillates according to the equation y' = (0.367 cm) sin[(n/5.0 cm)x] cos[(45.2 n slye). 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 . particle of the string at the position x = 2.20 cm when t = 1.06 s? (a) Number Units cm (b) Number 226 Units cm/s (c) Number UnitsTcm

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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 ns)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) Number
[226
Units
cm/s
Unit
cm
(c) Number
(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 ns)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) Number [226 Units cm/s Unit cm (c) Number (d) Number Units
Expert Solution
Step 1

(a)

Given:

The equation of the oscillation is y'=0.367 cmsinn5.0 cm-1xcos45.2n s-1t.

Introduction:

Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.

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