A large rope of length l = 10m and mass m = 5.4kg is tied between two fixed points with a tensionT = 7.3 N.A transverse pulse is created in this string (travelling towa the right) described by the following waveform:
A large rope of length l = 10m and mass m = 5.4kg is tied between two fixed points with a tensionT = 7.3 N.A transverse pulse is created in this string (travelling towa the right) described by the following waveform:
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Transcribed Image Text:A large rope of length l = 10m and mass m = 5.4kg is tied between two fixed points with a tension T = 7.3 N.A transverse pulse is created in this string (travelling toward
the right) described by the following waveform:
y(x) = 0.2e-
a) Generate a plot of the above waveform using a computer or calculator, and make a sketch below:
b) Calculate the speed of the wave travelling on the string.
c) Write down the wavefunction of this wave travelling to the right with the above calculated velocity.
d) Draw the wave at a time t = 1s
e) Derive an expression for the transverse velocity of the wave ve (x,t)
f) Calculate the transverse speed of the string at position x = 2m at a timet = 1.0s.
g) Draw the wave at a time t= 6s. Be careful about the reflection of the wave from the fixed end.
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