a. Write down an equation, D(x, t), for a transverse standing wave on a string of length L = 0.20 m that is fixed at each end, given that the antinodes are at maximum displacement at t = 0. The standing wave has wavelength 2 = 0.20 m and frequency f= 400 Hz. The maximum displacement of an antinode is 0.040 m.
a. Write down an equation, D(x, t), for a transverse standing wave on a string of length L = 0.20 m that is fixed at each end, given that the antinodes are at maximum displacement at t = 0. The standing wave has wavelength 2 = 0.20 m and frequency f= 400 Hz. The maximum displacement of an antinode is 0.040 m.
University Physics Volume 1
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Chapter16: Waves
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Problem 145CP: A pulse moving along the x axis can be modeled as the wave function y(x,t)=4.00me( x+( 2.00m/s )t...
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
Transcribed Image Text:a. Write down an equation, D(x, t), for a transverse standing wave on a string
of length L = 0.20 m that is fixed at each end, given that the antinodes are
at maximum displacement at t = 0. The standing wave has wavelength 2
= 0.20 m and frequency f= 400 Hz. The maximum displacement of an
antinode is 0.040 m.
%3D
b. What is the period T of this wave?
c. Draw a sketch of the standing wave at the following times t = 0, t= T/4, t
= T/2.
d. What are the values of x for all antinodes?
e. What are the values of x for all nodes?
f. Write down the equation for the two traveling waves that make up this
standing wave.
g. What is the speed of these travelling waves?
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